For the Equation, Determine the Constants a and B That $\frac { x - 5 } { x ^ { 2 } } = \frac { A } { x } + \frac { B } { x ^ { 2 } }$

For the equation, determine the constants A and B that make the equation an identity.
- $\frac { x - 5 } { x ^ { 2 } } = \frac { A } { x } + \frac { B } { x ^ { 2 } }$

A) $\mathrm { A } = - 5 , \mathrm {~B} = 1$
B) $\mathrm { A } = 1 , \mathrm {~B} = - 5$
C) $\mathrm { A } = 1 , \mathrm {~B} = 5$
D) $\mathrm { A } = 5 , \mathrm {~B} = 1$

Correct Answer:

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