v^2+10v-760=0

Solution for v^2+10v-760=0 equation:

v^2+10v-760=0

a = 1; b = 10; c = -760;
Δ = b2-4ac
Δ = 102-4·1·(-760)
Δ = 3140
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3140}=\sqrt{4*785}=\sqrt{4}*\sqrt{785}=2\sqrt{785}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{785}}{2*1}=\frac{-10-2\sqrt{785}}{2}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{785}}{2*1}=\frac{-10+2\sqrt{785}}{2}
$