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9v^2-11v+2=0
a = 9; b = -11; c = +2;
Δ = b2-4ac
Δ = -112-4·9·2
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{49}=7$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-7}{2*9}=\frac{4}{18} =2/9 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+7}{2*9}=\frac{18}{18} =1 $
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