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2w^2-44w+170=0
a = 2; b = -44; c = +170;
Δ = b2-4ac
Δ = -442-4·2·170
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{576}=24$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-24}{2*2}=\frac{20}{4} =5 $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+24}{2*2}=\frac{68}{4} =17 $
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