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x^2+7.5x-38.5=0
a = 1; b = 7.5; c = -38.5;
Δ = b2-4ac
Δ = 7.52-4·1·(-38.5)
Δ = 210.25
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{-(7.5)-\sqrt{210.25}}{2*1}=\frac{-7.5-\sqrt{210.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.5)+\sqrt{210.25}}{2*1}=\frac{-7.5+\sqrt{210.25}}{2} $
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