Exam 11: Quadratic Equations and Inequalities

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Use the quadratic formula to solve the quadratic equation. 7 x 2 + 15 x + 8 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

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Find (10−3i)(4−9i)( 10 - 3 i ) ( 4 - 9 i ) and express the answer in the standard form of a complex number.

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Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - x=9,x=11x = 9 , x = 11

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Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - n=−6,n=12n = - 6 , n = \frac { 1 } { 2 }

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Solve the quadratic equation using the method that seems most appropriate to you. 9x4+11x2−48=09 x ^ { 4 } + 11 x ^ { 2 } - 48 = 0

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Write −160−10\frac { \sqrt { - 160 } } { \sqrt { - 10 } } in terms of i , perform the indicated operations, and simplify.

(Multiple Choice)
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Solve the inequality. (x−1)(3x−10)≤0( x - 1 ) ( 3 x - 10 ) \leq 0 Please enter your answer in interval notation.

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A quadratic equation is used in word problems dealing with area in order to determine dimensions.

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Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - x=−7,x=9x = - 7 , x = 9

(Multiple Choice)
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Use the quadratic formula to solve the quadratic equation. 10 n 2 −- 39 n = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

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To solve an equation with variables in the denominater, use cross products.

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Solve the quadratic equation using the method that seems most appropriate to you. n2+15n+26=0n ^ { 2 } + 15 n + 26 = 0 Please enter your answer as two numbers, separated by a comma.

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Solve the inequality. x 2 + 2 x −- 63 0

(Multiple Choice)
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Solve each quadratic equation using the method that seems most appropriate. (x−6)2=20( x - 6 ) ^ { 2 } = 20 Please enter your answer as two numbers, separated by a comma.

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Add. (7 + 8 i ) + (5 + 2 i )

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Solve the inequality. x−2x+1<0\frac { x - 2 } { x + 1 } < 0 Please enter your answer in interval notation.

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Suppose that the sum of two whole numbers is 13 and the sum of their reciprocals is 1340\frac { 13 } { 40 } Find the numbers.

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Solve the equation for the variable x . 4 x 2 + 4 nx + n 2 = 0

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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. -  two real solutions \text { two real solutions }

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Use the quadratic formula to solve the quadratic equation. Check your solutions by using the sum and product relationships. Match each of the equations with the number to obtain a true statement. - 17±2572\frac { 17 \pm \sqrt { 257 } } { 2 }

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