Question

How do you solve `25x^2 = 13` and simplify the answer in simplest radical form?

Answer 1

`x = +(sqrt13)/5 " or " x = -(sqrt13)/5`

Explanation:

The usual method of solving a quadratic is to make it equal to 0.
However, this is a special case because there is no term in x.

We can use the following method:

`25x^2 = 13" "larr`isolate the `x^2`

`x^2 = 13/25`

`x = +-sqrt(13/25)`

`x = +(sqrt13)/5 " or " x = -(sqrt13)/5`