Find values of a and b – math.stackexchange.com

I am required to find numbers a and b so that: $$\frac{2x+5}{x^2+x-6}=\frac{a}{x+3}+\frac{b}{x-2}$$ $$\frac{ax-2a\:+\:bx+3b}{x^2+x-6}$$ $$\therefore ax-2a\:+\:bx+3b\:=\:2x+5 $$ To this step i ...

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