h2=212

Solution for h2=212 equation:

h2=212

We move all terms to the left:

h2-(212)=0

We add all the numbers together, and all the variables

h^2-212=0

a = 1; b = 0; c = -212;
Δ = b2-4ac
Δ = 02-4·1·(-212)
Δ = 848
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:

$\sqrt{\Delta}=\sqrt{848}=\sqrt{16*53}=\sqrt{16}*\sqrt{53}=4\sqrt{53}$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{53}}{2*1}=\frac{0-4\sqrt{53}}{2}
=-\frac{4\sqrt{53}}{2}
=-2\sqrt{53}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{53}}{2*1}=\frac{0+4\sqrt{53}}{2}
=\frac{4\sqrt{53}}{2}
=2\sqrt{53}
$