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(99-y)y-5=0
We add all the numbers together, and all the variables
(-1y+99)y-5=0
We multiply parentheses
-1y^2+99y-5=0
a = -1; b = 99; c = -5;
Δ = b2-4ac
Δ = 992-4·(-1)·(-5)
Δ = 9781
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{-(99)-\sqrt{9781}}{2*-1}=\frac{-99-\sqrt{9781}}{-2} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(99)+\sqrt{9781}}{2*-1}=\frac{-99+\sqrt{9781}}{-2} $
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