48x^2=63

Solution for 48x^2=63 equation:

48x^2=63

We move all terms to the left:

48x^2-(63)=0

a = 48; b = 0; c = -63;
Δ = b2-4ac
Δ = 02-4·48·(-63)
Δ = 12096
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:

$\sqrt{\Delta}=\sqrt{12096}=\sqrt{576*21}=\sqrt{576}*\sqrt{21}=24\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{21}}{2*48}=\frac{0-24\sqrt{21}}{96}
=-\frac{24\sqrt{21}}{96}
=-\frac{\sqrt{21}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{21}}{2*48}=\frac{0+24\sqrt{21}}{96}
=\frac{24\sqrt{21}}{96}
=\frac{\sqrt{21}}{4}
$