h^2=946

Solution for h^2=946 equation:

h^2=946

We move all terms to the left:

h^2-(946)=0

a = 1; b = 0; c = -946;
Δ = b2-4ac
Δ = 02-4·1·(-946)
Δ = 3784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3784}=\sqrt{4*946}=\sqrt{4}*\sqrt{946}=2\sqrt{946}$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{946}}{2*1}=\frac{0-2\sqrt{946}}{2}
=-\frac{2\sqrt{946}}{2}
=-\sqrt{946}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{946}}{2*1}=\frac{0+2\sqrt{946}}{2}
=\frac{2\sqrt{946}}{2}
=\sqrt{946}
$