11x^2-7x=8

Solution for 11x^2-7x=8 equation:

11x^2-7x=8

We move all terms to the left:

11x^2-7x-(8)=0

a = 11; b = -7; c = -8;
Δ = b2-4ac
Δ = -72-4·11·(-8)
Δ = 401
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{-(-7)-\sqrt{401}}{2*11}=\frac{7-\sqrt{401}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{401}}{2*11}=\frac{7+\sqrt{401}}{22}
$