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0=25y^2-36y
We move all terms to the left:
0-(25y^2-36y)=0
We add all the numbers together, and all the variables
-(25y^2-36y)=0
We get rid of parentheses
-25y^2+36y=0
a = -25; b = 36; c = 0;
Δ = b2-4ac
Δ = 362-4·(-25)·0
Δ = 1296
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{1296}=36$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-36}{2*-25}=\frac{-72}{-50} =1+11/25 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+36}{2*-25}=\frac{0}{-50} =0 $
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