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15w^2+17w+4=0
a = 15; b = 17; c = +4;
Δ = b2-4ac
Δ = 172-4·15·4
Δ = 49
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{49}=7$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-7}{2*15}=\frac{-24}{30} =-4/5 $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+7}{2*15}=\frac{-10}{30} =-1/3 $
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