v2=81/49

Solution for v2=81/49 equation:

v2=81/49

We move all terms to the left:

v2-(81/49)=0

We add all the numbers together, and all the variables

v2-(+81/49)=0

We add all the numbers together, and all the variables

v^2-(+81/49)=0

We get rid of parentheses

v^2-81/49=0

We multiply all the terms by the denominator


v^2*49-81=0

Wy multiply elements

49v^2-81=0

a = 49; b = 0; c = -81;
Δ = b2-4ac
Δ = 02-4·49·(-81)
Δ = 15876
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15876}=126$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-126}{2*49}=\frac{-126}{98}
=-1+2/7
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+126}{2*49}=\frac{126}{98}
=1+2/7
$