x^2-240x=-950

Solution for x^2-240x=-950 equation:

x^2-240x=-950

We move all terms to the left:

x^2-240x-(-950)=0

We add all the numbers together, and all the variables

x^2-240x+950=0

a = 1; b = -240; c = +950;
Δ = b2-4ac
Δ = -2402-4·1·950
Δ = 53800
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{53800}=\sqrt{100*538}=\sqrt{100}*\sqrt{538}=10\sqrt{538}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-240)-10\sqrt{538}}{2*1}=\frac{240-10\sqrt{538}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-240)+10\sqrt{538}}{2*1}=\frac{240+10\sqrt{538}}{2}
$