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8y^2=968
We move all terms to the left:
8y^2-(968)=0
a = 8; b = 0; c = -968;
Δ = b2-4ac
Δ = 02-4·8·(-968)
Δ = 30976
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{30976}=176$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-176}{2*8}=\frac{-176}{16} =-11 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+176}{2*8}=\frac{176}{16} =11 $
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