Please help me solve a rational function, problem in the question.

Question

anonymous · Answer

$$\frac{ 1 }{ x ^{2} -7x +10 } = \frac{ x }{ x-5} + \frac{ 1 }{ x-2 }$$

anonymous · Answer

I know I need to find the lease common denominator but I am unsure if it is 
(x-5)(x-2) or $$x ^{2} -7x +10$$

anonymous · Answer

bro, i just put it in a calculator and got x= -2,3

anonymous · Answer

but your looking for the least common denom.?

anonymous · Answer

@dipset Yes, the way I was taught is you find the LCD of both of them. Then multiply each side of the equation by that LCD, simplify and then solve.

anonymous · Answer

@dipset I figured it out, thanks for trying to help.
I had to factor out $$x ^{2} -7x +10$$  to get (x-5)(x-2). 
My LCD was then (x-5)(x-2) and I multiplied that by both sides of the equation, and solved from there.