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# Algebra

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There are real numbers $A$ and $B$ such that $\frac{5x+16}{x^2-7x+10}=\frac{A}{x-2}+\frac{B}{x-5}.$Find $A+B$.

Nov 7, 2021

#1
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Hint: Cross multiply

Nov 7, 2021
#2
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Get a common denominator on the RHS

Are the two denominators the same now?  Yes ?

So now equate coefficients on the top

Nov 7, 2021
edited by Melody  Nov 7, 2021