9x^2-594=0

Solution for 9x^2-594=0 equation:

9x^2-594=0

a = 9; b = 0; c = -594;
Δ = b2-4ac
Δ = 02-4·9·(-594)
Δ = 21384
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:

$\sqrt{\Delta}=\sqrt{21384}=\sqrt{324*66}=\sqrt{324}*\sqrt{66}=18\sqrt{66}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{66}}{2*9}=\frac{0-18\sqrt{66}}{18}
=-\frac{18\sqrt{66}}{18}
=-\sqrt{66}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{66}}{2*9}=\frac{0+18\sqrt{66}}{18}
=\frac{18\sqrt{66}}{18}
=\sqrt{66}
$