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1.5x^2-17x+34=0
a = 1.5; b = -17; c = +34;
Δ = b2-4ac
Δ = -172-4·1.5·34
Δ = 85
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{-(-17)-\sqrt{85}}{2*1.5}=\frac{17-\sqrt{85}}{3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{85}}{2*1.5}=\frac{17+\sqrt{85}}{3} $
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