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=-4.9Y^2+61Y+325
We move all terms to the left:
-(-4.9Y^2+61Y+325)=0
We get rid of parentheses
4.9Y^2-61Y-325=0
a = 4.9; b = -61; c = -325;
Δ = b2-4ac
Δ = -612-4·4.9·(-325)
Δ = 10091
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{-(-61)-\sqrt{10091}}{2*4.9}=\frac{61-\sqrt{10091}}{9.8} $$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+\sqrt{10091}}{2*4.9}=\frac{61+\sqrt{10091}}{9.8} $
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