x^2+32500=76600

Solution for x^2+32500=76600 equation:

x^2+32500=76600

We move all terms to the left:

x^2+32500-(76600)=0

We add all the numbers together, and all the variables

x^2-44100=0

a = 1; b = 0; c = -44100;
Δ = b2-4ac
Δ = 02-4·1·(-44100)
Δ = 176400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{176400}=420$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-420}{2*1}=\frac{-420}{2}
=-210
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+420}{2*1}=\frac{420}{2}
=210
$