(x*x)+(36+36)=(85*85)

Solution for (x*x)+(36+36)=(85*85) equation:

(x*x)+(36+36)=(85*85)

We move all terms to the left:

(x*x)+(36+36)-((85*85))=0

We add all the numbers together, and all the variables

(+x*x)+72-(7225)=0

We add all the numbers together, and all the variables

(+x*x)-7153=0

We get rid of parentheses

x*x-7153=0

Wy multiply elements

x^2-7153=0

a = 1; b = 0; c = -7153;
Δ = b2-4ac
Δ = 02-4·1·(-7153)
Δ = 28612
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:

$\sqrt{\Delta}=\sqrt{28612}=\sqrt{4*7153}=\sqrt{4}*\sqrt{7153}=2\sqrt{7153}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{7153}}{2*1}=\frac{0-2\sqrt{7153}}{2}
=-\frac{2\sqrt{7153}}{2}
=-\sqrt{7153}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{7153}}{2*1}=\frac{0+2\sqrt{7153}}{2}
=\frac{2\sqrt{7153}}{2}
=\sqrt{7153}
$