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=3Y^2+7Y-14
We move all terms to the left:
-(3Y^2+7Y-14)=0
We get rid of parentheses
-3Y^2-7Y+14=0
a = -3; b = -7; c = +14;
Δ = b2-4ac
Δ = -72-4·(-3)·14
Δ = 217
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{217}}{2*-3}=\frac{7-\sqrt{217}}{-6} $$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{217}}{2*-3}=\frac{7+\sqrt{217}}{-6} $
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