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3w^2+3w-77=0
a = 3; b = 3; c = -77;
Δ = b2-4ac
Δ = 32-4·3·(-77)
Δ = 933
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}$$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{933}}{2*3}=\frac{-3-\sqrt{933}}{6} $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{933}}{2*3}=\frac{-3+\sqrt{933}}{6} $
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