11x^2-77x-36=0

Solution for 11x^2-77x-36=0 equation:

11x^2-77x-36=0

a = 11; b = -77; c = -36;
Δ = b2-4ac
Δ = -772-4·11·(-36)
Δ = 7513
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-77)-\sqrt{7513}}{2*11}=\frac{77-\sqrt{7513}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-77)+\sqrt{7513}}{2*11}=\frac{77+\sqrt{7513}}{22}
$