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-2x^2-11x+7=0
a = -2; b = -11; c = +7;
Δ = b2-4ac
Δ = -112-4·(-2)·7
Δ = 177
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{177}}{2*-2}=\frac{11-\sqrt{177}}{-4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{177}}{2*-2}=\frac{11+\sqrt{177}}{-4} $
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