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2x^2-7x-1600=0
a = 2; b = -7; c = -1600;
Δ = b2-4ac
Δ = -72-4·2·(-1600)
Δ = 12849
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{12849}}{2*2}=\frac{7-\sqrt{12849}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{12849}}{2*2}=\frac{7+\sqrt{12849}}{4} $
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