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=25Y-5Y^2
We move all terms to the left:
-(25Y-5Y^2)=0
We get rid of parentheses
5Y^2-25Y=0
a = 5; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·5·0
Δ = 625
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{625}=25$$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*5}=\frac{0}{10} =0 $$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*5}=\frac{50}{10} =5 $
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