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5v^2-2v-72=0
a = 5; b = -2; c = -72;
Δ = b2-4ac
Δ = -22-4·5·(-72)
Δ = 1444
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{1444}=38$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-38}{2*5}=\frac{-36}{10} =-3+3/5 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+38}{2*5}=\frac{40}{10} =4 $
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