x^2+32,500=76,600

Solution for x^2+32,500=76,600 equation:

x^2+32.500=76.600

We move all terms to the left:

x^2+32.500-(76.600)=0

We add all the numbers together, and all the variables

x^2+32.500-(76.6)=0

We add all the numbers together, and all the variables

x^2-44.1=0

a = 1; b = 0; c = -44.1;
Δ = b2-4ac
Δ = 02-4·1·(-44.1)
Δ = 176.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{176.4}}{2*1}=\frac{0-\sqrt{176.4}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{176.4}}{2*1}=\frac{0+\sqrt{176.4}}{2}
=\frac{\sqrt{}}{2}
$