(x^2)=980

Solution for (x^2)=980 equation:

(x^2)=980

We move all terms to the left:

(x^2)-(980)=0

a = 1; b = 0; c = -980;
Δ = b2-4ac
Δ = 02-4·1·(-980)
Δ = 3920
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:

$\sqrt{\Delta}=\sqrt{3920}=\sqrt{784*5}=\sqrt{784}*\sqrt{5}=28\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{5}}{2*1}=\frac{0-28\sqrt{5}}{2}
=-\frac{28\sqrt{5}}{2}
=-14\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{5}}{2*1}=\frac{0+28\sqrt{5}}{2}
=\frac{28\sqrt{5}}{2}
=14\sqrt{5}
$