9x^2-250=0

Solution for 9x^2-250=0 equation:

9x^2-250=0

a = 9; b = 0; c = -250;
Δ = b2-4ac
Δ = 02-4·9·(-250)
Δ = 9000
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:

$\sqrt{\Delta}=\sqrt{9000}=\sqrt{900*10}=\sqrt{900}*\sqrt{10}=30\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{10}}{2*9}=\frac{0-30\sqrt{10}}{18}
=-\frac{30\sqrt{10}}{18}
=-\frac{5\sqrt{10}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{10}}{2*9}=\frac{0+30\sqrt{10}}{18}
=\frac{30\sqrt{10}}{18}
=\frac{5\sqrt{10}}{3}
$