5x^2=126

Solution for 5x^2=126 equation:

5x^2=126

We move all terms to the left:

5x^2-(126)=0

a = 5; b = 0; c = -126;
Δ = b2-4ac
Δ = 02-4·5·(-126)
Δ = 2520
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:

$\sqrt{\Delta}=\sqrt{2520}=\sqrt{36*70}=\sqrt{36}*\sqrt{70}=6\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{70}}{2*5}=\frac{0-6\sqrt{70}}{10}
=-\frac{6\sqrt{70}}{10}
=-\frac{3\sqrt{70}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{70}}{2*5}=\frac{0+6\sqrt{70}}{10}
=\frac{6\sqrt{70}}{10}
=\frac{3\sqrt{70}}{5}
$