Question

How do you solve sqrt (t) - 1 + 3 = 9?

Answer 1

See a solution process below:

Explanation:

First, combine the constants on the left side of the equation:

`sqrt(t) + (-1 + 3) = 9`

`sqrt(t) + 2 = 9`

Next, subtract `color(red)(2)` from each side of the equation to isolate the radical while keeping the equation balanced:

`sqrt(t) + 2 - color(red)(2) = 9 - color(red)(2)`

`sqrt(t) + 0 = 7`

`sqrt(t) = 7`

Now, square both sides of the equation to solve for `t` while keeping the equation balanced:

`(sqrt(t)) = 7^2`

`t = 49`

Answer 2

`t=49`

Explanation:

`"simplify the left side of the equation"`

`rArrsqrt t+2=9`

`"subtract 2 from both sides"`

`sqrt tcancel(+2)cancel(-2)=9-2`

`rArrsqrt t=7`

`["note that "sqrtaxxsqrta=(sqrta)^2=a]`

`color(blue)"square both sides"`

`(sqrt t)^2=7^2`

`rArrt=49`