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1.7x^2-44.46x+79.61=0
a = 1.7; b = -44.46; c = +79.61;
Δ = b2-4ac
Δ = -44.462-4·1.7·79.61
Δ = 1435.3436
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{-(-44.46)-\sqrt{1435.3436}}{2*1.7}=\frac{44.46-\sqrt{1435.3436}}{3.4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44.46)+\sqrt{1435.3436}}{2*1.7}=\frac{44.46+\sqrt{1435.3436}}{3.4} $
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