b2=100+36

Solution for b2=100+36 equation:

b2=100+36

We move all terms to the left:

b2-(100+36)=0

We add all the numbers together, and all the variables

b2-136=0

We add all the numbers together, and all the variables

b^2-136=0

a = 1; b = 0; c = -136;
Δ = b2-4ac
Δ = 02-4·1·(-136)
Δ = 544
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:

$\sqrt{\Delta}=\sqrt{544}=\sqrt{16*34}=\sqrt{16}*\sqrt{34}=4\sqrt{34}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{34}}{2*1}=\frac{0-4\sqrt{34}}{2}
=-\frac{4\sqrt{34}}{2}
=-2\sqrt{34}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{34}}{2*1}=\frac{0+4\sqrt{34}}{2}
=\frac{4\sqrt{34}}{2}
=2\sqrt{34}
$