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-2x^2-27x-91=0
a = -2; b = -27; c = -91;
Δ = b2-4ac
Δ = -272-4·(-2)·(-91)
Δ = 1
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-1}{2*-2}=\frac{26}{-4} =-6+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+1}{2*-2}=\frac{28}{-4} =-7 $
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