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-2x^2+7x+7=0
a = -2; b = 7; c = +7;
Δ = b2-4ac
Δ = 72-4·(-2)·7
Δ = 105
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{105}}{2*-2}=\frac{-7-\sqrt{105}}{-4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{105}}{2*-2}=\frac{-7+\sqrt{105}}{-4} $
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