2x*x=95

Solution for 2x*x=95 equation:

2x*x=95

We move all terms to the left:

2x*x-(95)=0

Wy multiply elements

2x^2-95=0

a = 2; b = 0; c = -95;
Δ = b2-4ac
Δ = 02-4·2·(-95)
Δ = 760
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:

$\sqrt{\Delta}=\sqrt{760}=\sqrt{4*190}=\sqrt{4}*\sqrt{190}=2\sqrt{190}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{190}}{2*2}=\frac{0-2\sqrt{190}}{4}
=-\frac{2\sqrt{190}}{4}
=-\frac{\sqrt{190}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{190}}{2*2}=\frac{0+2\sqrt{190}}{4}
=\frac{2\sqrt{190}}{4}
=\frac{\sqrt{190}}{2}
$