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40v^2+13v+1=0
a = 40; b = 13; c = +1;
Δ = b2-4ac
Δ = 132-4·40·1
Δ = 9
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{9}=3$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-3}{2*40}=\frac{-16}{80} =-1/5 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+3}{2*40}=\frac{-10}{80} =-1/8 $
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