90+52=5x2

Solution for 90+52=5x2 equation:

90+52=5x^2

We move all terms to the left:

90+52-(5x^2)=0

We add all the numbers together, and all the variables

-5x^2+142=0

a = -5; b = 0; c = +142;
Δ = b2-4ac
Δ = 02-4·(-5)·142
Δ = 2840
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:

$\sqrt{\Delta}=\sqrt{2840}=\sqrt{4*710}=\sqrt{4}*\sqrt{710}=2\sqrt{710}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{710}}{2*-5}=\frac{0-2\sqrt{710}}{-10}
=-\frac{2\sqrt{710}}{-10}
=-\frac{\sqrt{710}}{-5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{710}}{2*-5}=\frac{0+2\sqrt{710}}{-10}
=\frac{2\sqrt{710}}{-10}
=\frac{\sqrt{710}}{-5}
$