950=5x^2-6

Solution for 950=5x^2-6 equation:

950=5x^2-6

We move all terms to the left:

950-(5x^2-6)=0

We get rid of parentheses

-5x^2+6+950=0

We add all the numbers together, and all the variables

-5x^2+956=0

a = -5; b = 0; c = +956;
Δ = b2-4ac
Δ = 02-4·(-5)·956
Δ = 19120
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:

$\sqrt{\Delta}=\sqrt{19120}=\sqrt{16*1195}=\sqrt{16}*\sqrt{1195}=4\sqrt{1195}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{1195}}{2*-5}=\frac{0-4\sqrt{1195}}{-10}
=-\frac{4\sqrt{1195}}{-10}
=-\frac{2\sqrt{1195}}{-5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{1195}}{2*-5}=\frac{0+4\sqrt{1195}}{-10}
=\frac{4\sqrt{1195}}{-10}
=\frac{2\sqrt{1195}}{-5}
$