59-162x^2=0

Solution for 59-162x^2=0 equation:

59-162x^2=0

a = -162; b = 0; c = +59;
Δ = b2-4ac
Δ = 02-4·(-162)·59
Δ = 38232
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:

$\sqrt{\Delta}=\sqrt{38232}=\sqrt{324*118}=\sqrt{324}*\sqrt{118}=18\sqrt{118}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{118}}{2*-162}=\frac{0-18\sqrt{118}}{-324}
=-\frac{18\sqrt{118}}{-324}
=-\frac{\sqrt{118}}{-18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{118}}{2*-162}=\frac{0+18\sqrt{118}}{-324}
=\frac{18\sqrt{118}}{-324}
=\frac{\sqrt{118}}{-18}
$