Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

but your looking for the least common denom.?

Answer 5

@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.

Answer 6

@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.