v2-31v+30=0

Solution for v2-31v+30=0 equation:

v2-31v+30=0

We add all the numbers together, and all the variables

v^2-31v+30=0

a = 1; b = -31; c = +30;
Δ = b2-4ac
Δ = -312-4·1·30
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-29}{2*1}=\frac{2}{2}
=1
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+29}{2*1}=\frac{60}{2}
=30
$