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(50-y)*y=621
We move all terms to the left:
(50-y)*y-(621)=0
We add all the numbers together, and all the variables
(-1y+50)*y-621=0
We multiply parentheses
-1y^2+50y-621=0
a = -1; b = 50; c = -621;
Δ = b2-4ac
Δ = 502-4·(-1)·(-621)
Δ = 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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{16}=4$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-4}{2*-1}=\frac{-54}{-2} =+27 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+4}{2*-1}=\frac{-46}{-2} =+23 $
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