8x^2-11x=76

Solution for 8x^2-11x=76 equation:

8x^2-11x=76

We move all terms to the left:

8x^2-11x-(76)=0

a = 8; b = -11; c = -76;
Δ = b2-4ac
Δ = -112-4·8·(-76)
Δ = 2553
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{-(-11)-\sqrt{2553}}{2*8}=\frac{11-\sqrt{2553}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{2553}}{2*8}=\frac{11+\sqrt{2553}}{16}
$