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=Y^2+19.6Y-10000
We move all terms to the left:
-(Y^2+19.6Y-10000)=0
We get rid of parentheses
-Y^2-19.6Y+10000=0
We add all the numbers together, and all the variables
-1Y^2-19.6Y+10000=0
a = -1; b = -19.6; c = +10000;
Δ = b2-4ac
Δ = -19.62-4·(-1)·10000
Δ = 40384.16
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{-(-19.6)-\sqrt{40384.16}}{2*-1}=\frac{19.6-\sqrt{40384.16}}{-2} $$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19.6)+\sqrt{40384.16}}{2*-1}=\frac{19.6+\sqrt{40384.16}}{-2} $
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