v2=225/49

Solution for v2=225/49 equation:

v2=225/49

We move all terms to the left:

v2-(225/49)=0

We add all the numbers together, and all the variables

v2-(+225/49)=0

We add all the numbers together, and all the variables

v^2-(+225/49)=0

We get rid of parentheses

v^2-225/49=0

We multiply all the terms by the denominator


v^2*49-225=0

Wy multiply elements

49v^2-225=0

a = 49; b = 0; c = -225;
Δ = b2-4ac
Δ = 02-4·49·(-225)
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-210}{2*49}=\frac{-210}{98}
=-2+1/7
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+210}{2*49}=\frac{210}{98}
=2+1/7
$