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2x^2+9x-656=0
a = 2; b = 9; c = -656;
Δ = b2-4ac
Δ = 92-4·2·(-656)
Δ = 5329
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{5329}=73$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-73}{2*2}=\frac{-82}{4} =-20+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+73}{2*2}=\frac{64}{4} =16 $
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