(Ax2)+125=2059

Solution for (Ax2)+125=2059 equation:

(A2)+125=2059

We move all terms to the left:

(A2)+125-(2059)=0

We add all the numbers together, and all the variables

A^2-1934=0

a = 1; b = 0; c = -1934;
Δ = b2-4ac
Δ = 02-4·1·(-1934)
Δ = 7736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{7736}=\sqrt{4*1934}=\sqrt{4}*\sqrt{1934}=2\sqrt{1934}$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{1934}}{2*1}=\frac{0-2\sqrt{1934}}{2}
=-\frac{2\sqrt{1934}}{2}
=-\sqrt{1934}
$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{1934}}{2*1}=\frac{0+2\sqrt{1934}}{2}
=\frac{2\sqrt{1934}}{2}
=\sqrt{1934}
$