116x^2-144=0

Solution for 116x^2-144=0 equation:

116x^2-144=0

a = 116; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·116·(-144)
Δ = 66816
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:

$\sqrt{\Delta}=\sqrt{66816}=\sqrt{2304*29}=\sqrt{2304}*\sqrt{29}=48\sqrt{29}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{29}}{2*116}=\frac{0-48\sqrt{29}}{232}
=-\frac{48\sqrt{29}}{232}
=-\frac{6\sqrt{29}}{29}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{29}}{2*116}=\frac{0+48\sqrt{29}}{232}
=\frac{48\sqrt{29}}{232}
=\frac{6\sqrt{29}}{29}
$