7x^2=1296

Solution for 7x^2=1296 equation:

7x^2=1296

We move all terms to the left:

7x^2-(1296)=0

a = 7; b = 0; c = -1296;
Δ = b2-4ac
Δ = 02-4·7·(-1296)
Δ = 36288
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:

$\sqrt{\Delta}=\sqrt{36288}=\sqrt{5184*7}=\sqrt{5184}*\sqrt{7}=72\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{7}}{2*7}=\frac{0-72\sqrt{7}}{14}
=-\frac{72\sqrt{7}}{14}
=-\frac{36\sqrt{7}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{7}}{2*7}=\frac{0+72\sqrt{7}}{14}
=\frac{72\sqrt{7}}{14}
=\frac{36\sqrt{7}}{7}
$