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-8x^2-11x-2=0
a = -8; b = -11; c = -2;
Δ = b2-4ac
Δ = -112-4·(-8)·(-2)
Δ = 57
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{57}}{2*-8}=\frac{11-\sqrt{57}}{-16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{57}}{2*-8}=\frac{11+\sqrt{57}}{-16} $
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