Question

When solving an equation in the form by taking square roots, how many solutions will there be?

Answer 1

Normally two. However, one is often extraneous. 

Answer 2

Two

Explanation:

When you solving square equation, you will have two solutions.

Here we are given
`ax^2 = c`

We have to solve for x.

Divide both sides by a, we get

`(ax^2)/(a) = (a)/(c)`

Simplifying, we get

`x^2 = (a)/(c)`

In order to find the value of x, we need to get rid of square on the left side, so we need to take the square root on both sides, we get

`√(x^2) = \sqrt{(a)/(c) }`

x = ±
`\sqrt{(a)/(c) }`

So you will have a positive number and a negative number.

Therefore, there are two solutions.