36x*36x=77

Solution for 36x*36x=77 equation:

36x*36x=77

We move all terms to the left:

36x*36x-(77)=0

Wy multiply elements

1296x^2-77=0

a = 1296; b = 0; c = -77;
Δ = b2-4ac
Δ = 02-4·1296·(-77)
Δ = 399168
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:

$\sqrt{\Delta}=\sqrt{399168}=\sqrt{5184*77}=\sqrt{5184}*\sqrt{77}=72\sqrt{77}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{77}}{2*1296}=\frac{0-72\sqrt{77}}{2592}
=-\frac{72\sqrt{77}}{2592}
=-\frac{\sqrt{77}}{36}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{77}}{2*1296}=\frac{0+72\sqrt{77}}{2592}
=\frac{72\sqrt{77}}{2592}
=\frac{\sqrt{77}}{36}
$