b2-375=1464

Solution for b2-375=1464 equation:

b2-375=1464

We move all terms to the left:

b2-375-(1464)=0

We add all the numbers together, and all the variables

b^2-1839=0

a = 1; b = 0; c = -1839;
Δ = b2-4ac
Δ = 02-4·1·(-1839)
Δ = 7356
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:

$\sqrt{\Delta}=\sqrt{7356}=\sqrt{4*1839}=\sqrt{4}*\sqrt{1839}=2\sqrt{1839}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{1839}}{2*1}=\frac{0-2\sqrt{1839}}{2}
=-\frac{2\sqrt{1839}}{2}
=-\sqrt{1839}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{1839}}{2*1}=\frac{0+2\sqrt{1839}}{2}
=\frac{2\sqrt{1839}}{2}
=\sqrt{1839}
$