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9y^2=15876
We move all terms to the left:
9y^2-(15876)=0
a = 9; b = 0; c = -15876;
Δ = b2-4ac
Δ = 02-4·9·(-15876)
Δ = 571536
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{571536}=756$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-756}{2*9}=\frac{-756}{18} =-42 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+756}{2*9}=\frac{756}{18} =42 $
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