b2=32400-11664

Solution for b2=32400-11664 equation:

b2=32400-11664

We move all terms to the left:

b2-(32400-11664)=0

We add all the numbers together, and all the variables

b2-20736=0

We add all the numbers together, and all the variables

b^2-20736=0

a = 1; b = 0; c = -20736;
Δ = b2-4ac
Δ = 02-4·1·(-20736)
Δ = 82944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{82944}=288$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-288}{2*1}=\frac{-288}{2}
=-144
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+288}{2*1}=\frac{288}{2}
=144
$