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7.5-8.5x+2.3x^2=0
a = 2.3; b = -8.5; c = +7.5;
Δ = b2-4ac
Δ = -8.52-4·2.3·7.5
Δ = 3.25
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{-(-8.5)-\sqrt{3.25}}{2*2.3}=\frac{8.5-\sqrt{3.25}}{4.6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8.5)+\sqrt{3.25}}{2*2.3}=\frac{8.5+\sqrt{3.25}}{4.6} $
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