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-2x^2-7x-1=0
a = -2; b = -7; c = -1;
Δ = b2-4ac
Δ = -72-4·(-2)·(-1)
Δ = 41
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{41}}{2*-2}=\frac{7-\sqrt{41}}{-4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{41}}{2*-2}=\frac{7+\sqrt{41}}{-4} $
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