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-9=-8y^2+6.2y
We move all terms to the left:
-9-(-8y^2+6.2y)=0
We get rid of parentheses
8y^2-6.2y-9=0
a = 8; b = -6.2; c = -9;
Δ = b2-4ac
Δ = -6.22-4·8·(-9)
Δ = 326.44
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{-(-6.2)-\sqrt{326.44}}{2*8}=\frac{6.2-\sqrt{326.44}}{16} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.2)+\sqrt{326.44}}{2*8}=\frac{6.2+\sqrt{326.44}}{16} $
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