90*x^2=110

Solution for 90*x^2=110 equation:

90x^2=110

We move all terms to the left:

90x^2-(110)=0

a = 90; b = 0; c = -110;
Δ = b2-4ac
Δ = 02-4·90·(-110)
Δ = 39600
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:

$\sqrt{\Delta}=\sqrt{39600}=\sqrt{3600*11}=\sqrt{3600}*\sqrt{11}=60\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{11}}{2*90}=\frac{0-60\sqrt{11}}{180}
=-\frac{60\sqrt{11}}{180}
=-\frac{\sqrt{11}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{11}}{2*90}=\frac{0+60\sqrt{11}}{180}
=\frac{60\sqrt{11}}{180}
=\frac{\sqrt{11}}{3}
$