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

question 398

Multiple Choice

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) \(\mathrm { A } = 5 , \mathrm {~B} = 1\)

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