(X^2-12x+25)/(x-8)=0

Solution for (X^2-12x+25)/(x-8)=0 equation:

(X^2-12X+25)/(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 multiply all the terms by the denominator


(X^2-12X+25)=0

We get rid of parentheses

X^2-12X+25=0

a = 1; b = -12; c = +25;
Δ = b2-4ac
Δ = -122-4·1·25
Δ = 44
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{44}=\sqrt{4*11}=\sqrt{4}*\sqrt{11}=2\sqrt{11}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-2\sqrt{11}}{2*1}=\frac{12-2\sqrt{11}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+2\sqrt{11}}{2*1}=\frac{12+2\sqrt{11}}{2}
$