77=11t2

Solution for 77=11t2 equation:

77=11t^2

We move all terms to the left:

77-(11t^2)=0

a = -11; b = 0; c = +77;
Δ = b2-4ac
Δ = 02-4·(-11)·77
Δ = 3388
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3388}=\sqrt{484*7}=\sqrt{484}*\sqrt{7}=22\sqrt{7}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-22\sqrt{7}}{2*-11}=\frac{0-22\sqrt{7}}{-22}
=-\frac{22\sqrt{7}}{-22}
=-\frac{\sqrt{7}}{-1}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+22\sqrt{7}}{2*-11}=\frac{0+22\sqrt{7}}{-22}
=\frac{22\sqrt{7}}{-22}
=\frac{\sqrt{7}}{-1}
$