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14x^2-85x+44=0
a = 14; b = -85; c = +44;
Δ = b2-4ac
Δ = -852-4·14·44
Δ = 4761
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{4761}=69$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-85)-69}{2*14}=\frac{16}{28} =4/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+69}{2*14}=\frac{154}{28} =5+1/2 $
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