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2w^2-3w-27=0
a = 2; b = -3; c = -27;
Δ = b2-4ac
Δ = -32-4·2·(-27)
Δ = 225
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{225}=15$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-15}{2*2}=\frac{-12}{4} =-3 $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+15}{2*2}=\frac{18}{4} =4+1/2 $
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