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2x^2+37x-120=0
a = 2; b = 37; c = -120;
Δ = b2-4ac
Δ = 372-4·2·(-120)
Δ = 2329
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{-(37)-\sqrt{2329}}{2*2}=\frac{-37-\sqrt{2329}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+\sqrt{2329}}{2*2}=\frac{-37+\sqrt{2329}}{4} $
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