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=-16Y^2+0Y+400
We move all terms to the left:
-(-16Y^2+0Y+400)=0
We get rid of parentheses
16Y^2-0Y-400=0
We add all the numbers together, and all the variables
16Y^2-1Y-400=0
a = 16; b = -1; c = -400;
Δ = b2-4ac
Δ = -12-4·16·(-400)
Δ = 25601
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{-(-1)-\sqrt{25601}}{2*16}=\frac{1-\sqrt{25601}}{32} $$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{25601}}{2*16}=\frac{1+\sqrt{25601}}{32} $
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