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10v^2-11v+3=0
a = 10; b = -11; c = +3;
Δ = b2-4ac
Δ = -112-4·10·3
Δ = 1
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{1}=1$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-1}{2*10}=\frac{10}{20} =1/2 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+1}{2*10}=\frac{12}{20} =3/5 $
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