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1.32-9y^2=-3.09
We move all terms to the left:
1.32-9y^2-(-3.09)=0
We add all the numbers together, and all the variables
-9y^2+4.41=0
a = -9; b = 0; c = +4.41;
Δ = b2-4ac
Δ = 02-4·(-9)·4.41
Δ = 158.76
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{-(0)-\sqrt{158.76}}{2*-9}=\frac{0-\sqrt{158.76}}{-18} =-\frac{\sqrt{}}{-18} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{158.76}}{2*-9}=\frac{0+\sqrt{158.76}}{-18} =\frac{\sqrt{}}{-18} $
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