Solve for t.

Question

t2 − 29 = 7

Write your answers as integers or as proper or improper fractions in simplest form.

t =
or t =

Answer 1

To solve the equation \( t^2 - 29 = 7 \), we can start by isolating \( t^2 \).

1. First, add 29 to both sides of the equation:

\[ t^2 - 29 + 29 = 7 + 29 \] \[ t^2 = 36 \]

2. Next, take the square root of both sides. Remember that taking the square root gives us both a positive and a negative solution:

\[ t = \pm \sqrt{36} \] \[ t = \pm 6 \]

Thus, the solutions for \( t \) are:

\[ t = 6 \quad \text{or} \quad t = -6 \]

So, the final answers are:

\[ t = 6 \quad \text{or} \quad t = -6 \]