v2+5v-30=0

Solution for v2+5v-30=0 equation:

v2+5v-30=0

We add all the numbers together, and all the variables

v^2+5v-30=0

a = 1; b = 5; c = -30;
Δ = b2-4ac
Δ = 52-4·1·(-30)
Δ = 145
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{145}}{2*1}=\frac{-5-\sqrt{145}}{2}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{145}}{2*1}=\frac{-5+\sqrt{145}}{2}
$