131x2=262

Solution for 131x2=262 equation:

131x^2=262

We move all terms to the left:

131x^2-(262)=0

a = 131; b = 0; c = -262;
Δ = b2-4ac
Δ = 02-4·131·(-262)
Δ = 137288
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:

$\sqrt{\Delta}=\sqrt{137288}=\sqrt{68644*2}=\sqrt{68644}*\sqrt{2}=262\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-262\sqrt{2}}{2*131}=\frac{0-262\sqrt{2}}{262}
=-\frac{262\sqrt{2}}{262}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+262\sqrt{2}}{2*131}=\frac{0+262\sqrt{2}}{262}
=\frac{262\sqrt{2}}{262}
=\sqrt{2}
$