Question

Make x subject of formula √x+a=b​

Answer 1

After making x the subject of the formula, the formula is:

`x = (b-a)^2`

Explanation:

Given formula is:

`√(x) +a = b`

Making a variable subject of a formula or equation means that the variable has to be isolated in the equation to write it in terms of other variables and constants.

So,

In the given formula,

Subtracting a from both sides

`√(x) +a-a = b-a\\√(x) = b-a`

The subject of the formula should not be in radical form.

Taking square on both sides

`(√(x))^2 = (b-a)^2\\x = (b-a)^2`

After making x the subject of the formula, the formula is:

`x = (b-a)^2`