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-5x^2+2.5x+7.5=0
a = -5; b = 2.5; c = +7.5;
Δ = b2-4ac
Δ = 2.52-4·(-5)·7.5
Δ = 156.25
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{-(2.5)-\sqrt{156.25}}{2*-5}=\frac{-2.5-\sqrt{156.25}}{-10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.5)+\sqrt{156.25}}{2*-5}=\frac{-2.5+\sqrt{156.25}}{-10} $
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