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18w^2-27w=0
a = 18; b = -27; c = 0;
Δ = b2-4ac
Δ = -272-4·18·0
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$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-27}{2*18}=\frac{0}{36} =0 $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+27}{2*18}=\frac{54}{36} =1+1/2 $
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