# How do you solve #25v^2=1#?

##### 3 Answers

#### Explanation:

Divide both sides by 25 giving:

Thus:

But as this is square root we should write

#### Explanation:

Begin by isolating

#v^2# . To do this we divide both sides of the equation by 25.

#rArr(cancel(25)^1 v^2)/cancel(25)^1=1/25rArrv^2=1/25# now take the

#color(blue)"square root of both sides"#

#rArrsqrt(v^2)=+-sqrt(1/25)#

#rArrv=+-1/5#

#### Explanation:

Apart from the method shown by other contributors, we can also follow the usual method for a quadratic equation.

Either factor could be 0