(X^2-5x-12)/(x=3)

Solution for (X^2-5x-12)/(x=3) equation:

(X^2-5X-12)/(X=3)

We move all terms to the left:

(X^2-5X-12)/(X-(3))=0


Domain of the equation: (X-3)!=0

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

X!=3

X∈R


We multiply all the terms by the denominator


(X^2-5X-12)=0

We get rid of parentheses

X^2-5X-12=0

a = 1; b = -5; c = -12;
Δ = b2-4ac
Δ = -52-4·1·(-12)
Δ = 73
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-\sqrt{73}}{2*1}=\frac{5-\sqrt{73}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{73}}{2*1}=\frac{5+\sqrt{73}}{2}
$