x^2-36=8,X=

Solution for x^2-36=8,X= equation:

x^2-36=8.x=

We move all terms to the left:

x^2-36-(8.x)=0

We add all the numbers together, and all the variables

x^2-(+8.x)-36=0

We get rid of parentheses

x^2-8.x-36=0

We add all the numbers together, and all the variables

x^2-8x-36=0

a = 1; b = -8; c = -36;
Δ = b2-4ac
Δ = -82-4·1·(-36)
Δ = 208
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:

$\sqrt{\Delta}=\sqrt{208}=\sqrt{16*13}=\sqrt{16}*\sqrt{13}=4\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-4\sqrt{13}}{2*1}=\frac{8-4\sqrt{13}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+4\sqrt{13}}{2*1}=\frac{8+4\sqrt{13}}{2}
$