Question

How do you solve `5sqrt(x+1)=21`?

Answer 1

`x=416/25`

Explanation:

Solve:

`5sqrt(x+1)=21`

Square both sides.

`25(x+1)=441`

Divide both sides by `25`

`x+1=441/25`

Subtract `1` from both sides.

`x=441/25-1`

Multiply `1` by `25/25` to get an equivalent fraction with `25` as the denominator.

`x=441/25-1xx25/25`

`x=441/25-25/25`

Simplify.

`x=416/25`

Answer 2

Answer = 16.64

Explanation:

`5 √(x+1) =21`

Divide:

`(5√x+1)/5 = 21/5 or 4.2`

Square (the opposite of square root):

`(√(x+1))^2= 4.2^2 or 17.64`

Subtract:

`x+1-1=17.64-1`

`x=16.64`