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-7.5x^2+4.5x+120=0
a = -7.5; b = 4.5; c = +120;
Δ = b2-4ac
Δ = 4.52-4·(-7.5)·120
Δ = 3620.25
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{-(4.5)-\sqrt{3620.25}}{2*-7.5}=\frac{-4.5-\sqrt{3620.25}}{-15} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.5)+\sqrt{3620.25}}{2*-7.5}=\frac{-4.5+\sqrt{3620.25}}{-15} $
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