77x2=72

Solution for 77x2=72 equation:

77x^2=72

We move all terms to the left:

77x^2-(72)=0

a = 77; b = 0; c = -72;
Δ = b2-4ac
Δ = 02-4·77·(-72)
Δ = 22176
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:

$\sqrt{\Delta}=\sqrt{22176}=\sqrt{144*154}=\sqrt{144}*\sqrt{154}=12\sqrt{154}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{154}}{2*77}=\frac{0-12\sqrt{154}}{154}
=-\frac{12\sqrt{154}}{154}
=-\frac{6\sqrt{154}}{77}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{154}}{2*77}=\frac{0+12\sqrt{154}}{154}
=\frac{12\sqrt{154}}{154}
=\frac{6\sqrt{154}}{77}
$