100x^2=900

Solution for 100x^2=900 equation:

100x^2=900

We move all terms to the left:

100x^2-(900)=0

a = 100; b = 0; c = -900;
Δ = b2-4ac
Δ = 02-4·100·(-900)
Δ = 360000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{360000}=600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-600}{2*100}=\frac{-600}{200}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+600}{2*100}=\frac{600}{200}
=3
$