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w^2-5w-176=0
a = 1; b = -5; c = -176;
Δ = b2-4ac
Δ = -52-4·1·(-176)
Δ = 729
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{729}=27$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-27}{2*1}=\frac{-22}{2} =-11 $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+27}{2*1}=\frac{32}{2} =16 $
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