0=x^2-950

Solution for 0=x^2-950 equation:

0=x^2-950

We move all terms to the left:

0-(x^2-950)=0

We add all the numbers together, and all the variables

-(x^2-950)=0

We get rid of parentheses

-x^2+950=0

We add all the numbers together, and all the variables

-1x^2+950=0

a = -1; b = 0; c = +950;
Δ = b2-4ac
Δ = 02-4·(-1)·950
Δ = 3800
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:

$\sqrt{\Delta}=\sqrt{3800}=\sqrt{100*38}=\sqrt{100}*\sqrt{38}=10\sqrt{38}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{38}}{2*-1}=\frac{0-10\sqrt{38}}{-2}
=-\frac{10\sqrt{38}}{-2}
=-\frac{5\sqrt{38}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{38}}{2*-1}=\frac{0+10\sqrt{38}}{-2}
=\frac{10\sqrt{38}}{-2}
=\frac{5\sqrt{38}}{-1}
$