2v-20/7v=0

Solution for 2v-20/7v=0 equation:

2v-20/7v=0


Domain of the equation: 7v!=0

v!=0/7

v!=0

v∈R


We multiply all the terms by the denominator


2v*7v-20=0

Wy multiply elements

14v^2-20=0

a = 14; b = 0; c = -20;
Δ = b2-4ac
Δ = 02-4·14·(-20)
Δ = 1120
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:

$\sqrt{\Delta}=\sqrt{1120}=\sqrt{16*70}=\sqrt{16}*\sqrt{70}=4\sqrt{70}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{70}}{2*14}=\frac{0-4\sqrt{70}}{28}
=-\frac{4\sqrt{70}}{28}
=-\frac{\sqrt{70}}{7}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{70}}{2*14}=\frac{0+4\sqrt{70}}{28}
=\frac{4\sqrt{70}}{28}
=\frac{\sqrt{70}}{7}
$