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9y^2+78y+16.98=2.787
We move all terms to the left:
9y^2+78y+16.98-(2.787)=0
We add all the numbers together, and all the variables
9y^2+78y+14.193=0
a = 9; b = 78; c = +14.193;
Δ = b2-4ac
Δ = 782-4·9·14.193
Δ = 5573.052
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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(78)-\sqrt{5573.052}}{2*9}=\frac{-78-\sqrt{5573.052}}{18} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(78)+\sqrt{5573.052}}{2*9}=\frac{-78+\sqrt{5573.052}}{18} $
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