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-1.5x^2-2.5x+75=0
a = -1.5; b = -2.5; c = +75;
Δ = b2-4ac
Δ = -2.52-4·(-1.5)·75
Δ = 456.25
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{456.25}}{2*-1.5}=\frac{2.5-\sqrt{456.25}}{-3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.5)+\sqrt{456.25}}{2*-1.5}=\frac{2.5+\sqrt{456.25}}{-3} $
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