90000=10x^2

Solution for 90000=10x^2 equation:

90000=10x^2

We move all terms to the left:

90000-(10x^2)=0

a = -10; b = 0; c = +90000;
Δ = b2-4ac
Δ = 02-4·(-10)·90000
Δ = 3600000
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:

$\sqrt{\Delta}=\sqrt{3600000}=\sqrt{360000*10}=\sqrt{360000}*\sqrt{10}=600\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-600\sqrt{10}}{2*-10}=\frac{0-600\sqrt{10}}{-20}
=-\frac{600\sqrt{10}}{-20}
=-\frac{30\sqrt{10}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+600\sqrt{10}}{2*-10}=\frac{0+600\sqrt{10}}{-20}
=\frac{600\sqrt{10}}{-20}
=\frac{30\sqrt{10}}{-1}
$