100(2)=b^2

Solution for 100(2)=b^2 equation:

100(2)=b^2

We move all terms to the left:

100(2)-(b^2)=0

We add all the numbers together, and all the variables

-1b^2+1002=0

a = -1; b = 0; c = +1002;
Δ = b2-4ac
Δ = 02-4·(-1)·1002
Δ = 4008
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4008}=\sqrt{4*1002}=\sqrt{4}*\sqrt{1002}=2\sqrt{1002}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{1002}}{2*-1}=\frac{0-2\sqrt{1002}}{-2}
=-\frac{2\sqrt{1002}}{-2}
=-\frac{\sqrt{1002}}{-1}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{1002}}{2*-1}=\frac{0+2\sqrt{1002}}{-2}
=\frac{2\sqrt{1002}}{-2}
=\frac{\sqrt{1002}}{-1}
$