135x^2-152=0

Solution for 135x^2-152=0 equation:

135x^2-152=0

a = 135; b = 0; c = -152;
Δ = b2-4ac
Δ = 02-4·135·(-152)
Δ = 82080
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:

$\sqrt{\Delta}=\sqrt{82080}=\sqrt{144*570}=\sqrt{144}*\sqrt{570}=12\sqrt{570}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{570}}{2*135}=\frac{0-12\sqrt{570}}{270}
=-\frac{12\sqrt{570}}{270}
=-\frac{2\sqrt{570}}{45}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{570}}{2*135}=\frac{0+12\sqrt{570}}{270}
=\frac{12\sqrt{570}}{270}
=\frac{2\sqrt{570}}{45}
$