v2=421/25

Solution for v2=421/25 equation:

v2=421/25

We move all terms to the left:

v2-(421/25)=0

We add all the numbers together, and all the variables

v2-(+421/25)=0

We add all the numbers together, and all the variables

v^2-(+421/25)=0

We get rid of parentheses

v^2-421/25=0

We multiply all the terms by the denominator


v^2*25-421=0

Wy multiply elements

25v^2-421=0

a = 25; b = 0; c = -421;
Δ = b2-4ac
Δ = 02-4·25·(-421)
Δ = 42100
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:

$\sqrt{\Delta}=\sqrt{42100}=\sqrt{100*421}=\sqrt{100}*\sqrt{421}=10\sqrt{421}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{421}}{2*25}=\frac{0-10\sqrt{421}}{50}
=-\frac{10\sqrt{421}}{50}
=-\frac{\sqrt{421}}{5}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{421}}{2*25}=\frac{0+10\sqrt{421}}{50}
=\frac{10\sqrt{421}}{50}
=\frac{\sqrt{421}}{5}
$