63x2=126

Solution for 63x2=126 equation:

63x^2=126

We move all terms to the left:

63x^2-(126)=0

a = 63; b = 0; c = -126;
Δ = b2-4ac
Δ = 02-4·63·(-126)
Δ = 31752
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:

$\sqrt{\Delta}=\sqrt{31752}=\sqrt{15876*2}=\sqrt{15876}*\sqrt{2}=126\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-126\sqrt{2}}{2*63}=\frac{0-126\sqrt{2}}{126}
=-\frac{126\sqrt{2}}{126}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+126\sqrt{2}}{2*63}=\frac{0+126\sqrt{2}}{126}
=\frac{126\sqrt{2}}{126}
=\sqrt{2}
$