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y=9+2(-7/11)
We move all terms to the left:
y-(9+2(-7/11))=0
We multiply all the terms by the denominator
y*11))-(9+2(-7=0
Wy multiply elements
11y^2-7=0
a = 11; b = 0; c = -7;
Δ = b2-4ac
Δ = 02-4·11·(-7)
Δ = 308
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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{308}=\sqrt{4*77}=\sqrt{4}*\sqrt{77}=2\sqrt{77}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{77}}{2*11}=\frac{0-2\sqrt{77}}{22} =-\frac{2\sqrt{77}}{22} =-\frac{\sqrt{77}}{11} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{77}}{2*11}=\frac{0+2\sqrt{77}}{22} =\frac{2\sqrt{77}}{22} =\frac{\sqrt{77}}{11} $
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