(x2+9x-136)/(x-8)=0

Solution for (x2+9x-136)/(x-8)=0 equation:

(x2+9x-136)/(x-8)=0


Domain of the equation: (x-8)!=0

We move all terms containing x to the left, all other terms to the right

x!=8

x∈R


We add all the numbers together, and all the variables

(+x^2+9x-136)/(x-8)=0

We multiply all the terms by the denominator


(+x^2+9x-136)=0

We get rid of parentheses

x^2+9x-136=0

a = 1; b = 9; c = -136;
Δ = b2-4ac
Δ = 92-4·1·(-136)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-25}{2*1}=\frac{-34}{2}
=-17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+25}{2*1}=\frac{16}{2}
=8
$