36a^2-48=0

Solution for 36a^2-48=0 equation:

36a^2-48=0

a = 36; b = 0; c = -48;
Δ = b2-4ac
Δ = 02-4·36·(-48)
Δ = 6912
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6912}=\sqrt{2304*3}=\sqrt{2304}*\sqrt{3}=48\sqrt{3}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{3}}{2*36}=\frac{0-48\sqrt{3}}{72}
=-\frac{48\sqrt{3}}{72}
=-\frac{2\sqrt{3}}{3}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{3}}{2*36}=\frac{0+48\sqrt{3}}{72}
=\frac{48\sqrt{3}}{72}
=\frac{2\sqrt{3}}{3}
$