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9c^2-11=718
We move all terms to the left:
9c^2-11-(718)=0
We add all the numbers together, and all the variables
9c^2-729=0
a = 9; b = 0; c = -729;
Δ = b2-4ac
Δ = 02-4·9·(-729)
Δ = 26244
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{26244}=162$$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-162}{2*9}=\frac{-162}{18} =-9 $$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+162}{2*9}=\frac{162}{18} =9 $
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