900=x^2/2

Solution for 900=x^2/2 equation:

900=x^2/2

We move all terms to the left:

900-(x^2/2)=0

We get rid of parentheses

-x^2/2+900=0

We multiply all the terms by the denominator


-x^2+900*2=0

We add all the numbers together, and all the variables

-1x^2+1800=0

a = -1; b = 0; c = +1800;
Δ = b2-4ac
Δ = 02-4·(-1)·1800
Δ = 7200
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:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{2}}{2*-1}=\frac{0-60\sqrt{2}}{-2}
=-\frac{60\sqrt{2}}{-2}
=-\frac{30\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{2}}{2*-1}=\frac{0+60\sqrt{2}}{-2}
=\frac{60\sqrt{2}}{-2}
=\frac{30\sqrt{2}}{-1}
$