2b^2=1152

Solution for 2b^2=1152 equation:

2b^2=1152

We move all terms to the left:

2b^2-(1152)=0

a = 2; b = 0; c = -1152;
Δ = b2-4ac
Δ = 02-4·2·(-1152)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*2}=\frac{-96}{4}
=-24
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*2}=\frac{96}{4}
=24
$