Exam 11: Quadratic Equations and Inequalities

Solve the quadratic equation using the method that seems most appropriate to you. $n + \frac { 25 } { n } = \frac { 185 } { 6 }$ Please enter your answer as two numbers, separated by a comma. Please enter one of the numbers as a fraction.

(Short Answer)

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Question 221

Use the discriminant to determine whether the equation has two non real complex solutions, one real solution with a multiplicity of two, or two real solutions. Match each of the equations with the number of decisions to obtain a true statement. - $\text { one real solution with a multiplicity of two }$

(Multiple Choice)

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Question 222

Use the quadratic formula to solve the quadratic equation. 36 y 2 $-$ 60 y + 25 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

(Short Answer)

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Question 223

Solve the quadratic equation. $6 t ^ { 2 } + 16 = 0$

(Short Answer)

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Question 224

Solve each quadratic equation using the method that seems most appropriate. ( x $-$ 4 )( x + 5 ) = 8 Please enter your answer as two numbers, separated by a comma.

(Short Answer)

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Question 225

Add or subtract as indicated. (7 + 7 i ) $-$ (4 + 3 i )

(Short Answer)

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Question 226

Solve the inequality. $\frac { x + 2 } { x - 4 } > 0$ Please enter your answer in interval notation.

(Short Answer)

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Question 227

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 4 } - 153 x ^ { 2 } + 450 = 0$ Please separate your answers with commas.

(Short Answer)

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Question 228

Use the quadratic formula to solve the quadratic equation. 15 k ² = 17 Please enter your answer as fractions and/or two numbers, separated by a comma.

(Short Answer)

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Question 229

Solve the inequality. $\frac { x - 5 } { x + 3 } < 0$

(Multiple Choice)

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Question 230

Solve the equation for the variable t . Assume that all letters represent positive numbers. $z = \frac { 1 } { 7 } l t ^ { 2 }$

(Short Answer)

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Question 231

Find ( $-$ 3 i ) ( $-$ 9 $-$ 2 i ) and express the answer in the standard form of a complex number.

(Short Answer)

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Question 232

Add or subtract as indicated. (6 + 8 i ) $-$ (4 + 6 i )

(Multiple Choice)

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Question 233

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - $x = 1 , x = 7$

(Multiple Choice)

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Question 234

The length of a rectangular floor is 8 meter less than twice its width. If a diagonal of the rectangle is 20 meters, find the length and width of the floor. Please enter your answer as two numbers without the units, separated by a comma.

(Short Answer)

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Question 235

Use the method of completing the square to solve the quadratic equation. x 2 + 4 x $-$ 1 = 0

(Multiple Choice)

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Question 236

Write $\sqrt { - \frac { 64 } { 81 } }$ in terms of i and simplify.

(Short Answer)

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Question 237

Solve each quadratic equation using the method that seems most appropriate. n ( n + 2 ) = 143 Please enter your answer as two numbers, separated by a comma.

(Short Answer)

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Question 238

Use the quadratic formula to solve the quadratic equation. 6 x 2 $-$ x + 9 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

(Short Answer)

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Question 239

Add. (5 + 7 i ) + (4 + 5 i )

(Multiple Choice)

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Question 240

Solve the quadratic equation using the method that seems most appropriate to you. $n + \frac { 25 } { n } = \frac { 185 } { 6 }$ Please enter your answer as two numbers, separated by a comma. Please enter one of the numbers as a fraction.

Use the quadratic formula to solve the quadratic equation. 36 y 2 $-$ 60 y + 25 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the quadratic equation. $6 t ^ { 2 } + 16 = 0$

Solve each quadratic equation using the method that seems most appropriate. ( x $-$ 4 )( x + 5 ) = 8 Please enter your answer as two numbers, separated by a comma.

Add or subtract as indicated. (7 + 7 i ) $-$ (4 + 3 i )

Solve the inequality. $\frac { x + 2 } { x - 4 } > 0$ Please enter your answer in interval notation.

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 4 } - 153 x ^ { 2 } + 450 = 0$ Please separate your answers with commas.

Use the quadratic formula to solve the quadratic equation. 15 k ² = 17 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. $\frac { x - 5 } { x + 3 } < 0$

Solve the equation for the variable t . Assume that all letters represent positive numbers. $z = \frac { 1 } { 7 } l t ^ { 2 }$

Find ( $-$ 3 i ) ( $-$ 9 $-$ 2 i ) and express the answer in the standard form of a complex number.

Add or subtract as indicated. (6 + 8 i ) $-$ (4 + 6 i )

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - $x = 1 , x = 7$

The length of a rectangular floor is 8 meter less than twice its width. If a diagonal of the rectangle is 20 meters, find the length and width of the floor. Please enter your answer as two numbers without the units, separated by a comma.

Use the method of completing the square to solve the quadratic equation. x 2 + 4 x $-$ 1 = 0

Write $\sqrt { - \frac { 64 } { 81 } }$ in terms of i and simplify.

Solve each quadratic equation using the method that seems most appropriate. n ( n + 2 ) = 143 Please enter your answer as two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. 6 x 2 $-$ x + 9 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Add. (5 + 7 i ) + (4 + 5 i )

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 11: Quadratic Equations and Inequalities

Solve the quadratic equation using the method that seems most appropriate to you. n+25n=1856n + \frac { 25 } { n } = \frac { 185 } { 6 }n+n25​=6185​ Please enter your answer as two numbers, separated by a comma. Please enter one of the numbers as a fraction.

Use the quadratic formula to solve the quadratic equation. 36 y 2 −-− 60 y + 25 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the quadratic equation. 6t2+16=06 t ^ { 2 } + 16 = 06t2+16=0

Solve each quadratic equation using the method that seems most appropriate. ( x −-− 4 )( x + 5 ) = 8 Please enter your answer as two numbers, separated by a comma.

Add or subtract as indicated. (7 + 7 i ) −-− (4 + 3 i )

Solve the inequality. x+2x−4>0\frac { x + 2 } { x - 4 } > 0x−4x+2​>0 Please enter your answer in interval notation.

Solve the quadratic equation using the method that seems most appropriate to you. x4−153x2+450=0x ^ { 4 } - 153 x ^ { 2 } + 450 = 0x4−153x2+450=0 Please separate your answers with commas.

Use the quadratic formula to solve the quadratic equation. 15 k 2 = 17 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. x−5x+3<0\frac { x - 5 } { x + 3 } < 0x+3x−5​<0

Solve the equation for the variable t . Assume that all letters represent positive numbers. z=17lt2z = \frac { 1 } { 7 } l t ^ { 2 }z=71​lt2

Find ( −-− 3 i ) ( −-− 9 −-− 2 i ) and express the answer in the standard form of a complex number.

Add or subtract as indicated. (6 + 8 i ) −-− (4 + 6 i )

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - x=1,x=7x = 1 , x = 7x=1,x=7

The length of a rectangular floor is 8 meter less than twice its width. If a diagonal of the rectangle is 20 meters, find the length and width of the floor. Please enter your answer as two numbers without the units, separated by a comma.

Use the method of completing the square to solve the quadratic equation. x 2 + 4 x −-− 1 = 0

Write −6481\sqrt { - \frac { 64 } { 81 } }−8164​​ in terms of i and simplify.

Solve each quadratic equation using the method that seems most appropriate. n ( n + 2 ) = 143 Please enter your answer as two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. 6 x 2 −-− x + 9 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Add. (5 + 7 i ) + (4 + 5 i )

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Solve the quadratic equation using the method that seems most appropriate to you. $n + \frac { 25 } { n } = \frac { 185 } { 6 }$ Please enter your answer as two numbers, separated by a comma. Please enter one of the numbers as a fraction.

Use the quadratic formula to solve the quadratic equation. 36 y 2 $-$ 60 y + 25 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the quadratic equation. $6 t ^ { 2 } + 16 = 0$

Solve each quadratic equation using the method that seems most appropriate. ( x $-$ 4 )( x + 5 ) = 8 Please enter your answer as two numbers, separated by a comma.

Add or subtract as indicated. (7 + 7 i ) $-$ (4 + 3 i )

Solve the inequality. $\frac { x + 2 } { x - 4 } > 0$ Please enter your answer in interval notation.

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 4 } - 153 x ^ { 2 } + 450 = 0$ Please separate your answers with commas.

Use the quadratic formula to solve the quadratic equation. 15 k ² = 17 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. $\frac { x - 5 } { x + 3 } < 0$

Solve the equation for the variable t . Assume that all letters represent positive numbers. $z = \frac { 1 } { 7 } l t ^ { 2 }$

Find ( $-$ 3 i ) ( $-$ 9 $-$ 2 i ) and express the answer in the standard form of a complex number.

Add or subtract as indicated. (6 + 8 i ) $-$ (4 + 6 i )

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - $x = 1 , x = 7$

Use the method of completing the square to solve the quadratic equation. x 2 + 4 x $-$ 1 = 0

Write $\sqrt { - \frac { 64 } { 81 } }$ in terms of i and simplify.

Use the quadratic formula to solve the quadratic equation. 6 x 2 $-$ x + 9 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.