Question

How do you solve `sqrtt-4=7` and check your solution?

Answer 1

`t=121`
(see below for method of solution and checking)

Explanation:

Given `sqrt(t)-4=7`
Add `4` to both sides to get
`color(white)("XXX")sqrt(t)=11`
Then square both sides:
`color(white)("XXX")t=121`

To check this solution:
Substitute `color(red)(121)` for `color(red)t` in
`color(white)("XXX")sqrt(color(red)(t))-4=7`

Left Side `=sqrt(color(red)(121))-4`
`color(white)("XXXXX")=11-4`
`color(white)("XXXXX")=7`
`color(white)("XXXXXXXXXXXX")=` Right Side