20x^2=89

Solution for 20x^2=89 equation:

20x^2=89

We move all terms to the left:

20x^2-(89)=0

a = 20; b = 0; c = -89;
Δ = b2-4ac
Δ = 02-4·20·(-89)
Δ = 7120
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:

$\sqrt{\Delta}=\sqrt{7120}=\sqrt{16*445}=\sqrt{16}*\sqrt{445}=4\sqrt{445}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{445}}{2*20}=\frac{0-4\sqrt{445}}{40}
=-\frac{4\sqrt{445}}{40}
=-\frac{\sqrt{445}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{445}}{2*20}=\frac{0+4\sqrt{445}}{40}
=\frac{4\sqrt{445}}{40}
=\frac{\sqrt{445}}{10}
$