((X^2)-1)/((x^2)-4)=0

Solution for ((X^2)-1)/((x^2)-4)=0 equation:

((X^2)-1)/((X^2)-4)=0


Domain of the equation: (X^2-4)!=0

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

X^2!=4

X^2!=4/

X^2!=√1/0

X!=1

X∈R


We multiply all the terms by the denominator


(X^2-1)=0

We get rid of parentheses

X^2-1=0

a = 1; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·1·(-1)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2}{2*1}=\frac{-2}{2}
=-1
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2}{2*1}=\frac{2}{2}
=1
$