11x^2=144

Solution for 11x^2=144 equation:

11x^2=144

We move all terms to the left:

11x^2-(144)=0

a = 11; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·11·(-144)
Δ = 6336
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:

$\sqrt{\Delta}=\sqrt{6336}=\sqrt{576*11}=\sqrt{576}*\sqrt{11}=24\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{11}}{2*11}=\frac{0-24\sqrt{11}}{22}
=-\frac{24\sqrt{11}}{22}
=-\frac{12\sqrt{11}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{11}}{2*11}=\frac{0+24\sqrt{11}}{22}
=\frac{24\sqrt{11}}{22}
=\frac{12\sqrt{11}}{11}
$