https://file.aiquickdraw.com/mathbot/file/1727360062858zwxt69vi.jpg

The equation in the image is:

\[
t^2 - 15 = 0
\]

To solve for \( t \):

1. Add 15 to both sides:
\[
t^2 = 15
\]

2. Take the square root of both sides:
\[
t = \pm \sqrt{15}
\]

So the solution is:
\[
t = \pm \sqrt{15}
\]

Do you have any questions, or would you like further details?

### Related questions:
1. What are the approximate decimal values of \( \sqrt{15} \)?
2. How can you check if your solutions are correct?
3. What are the steps to solve a quadratic equation of the form \( ax^2 + bx + c = 0 \)?
4. Can this equation be factored directly without using square roots?
5. What is the significance of the \( \pm \) symbol in solutions?

**Tip:** For any quadratic equation, always check if it's factorable before applying other methods like completing the square or using the quadratic formula.

Learn how to solve the quadratic equation t^2 - 15 = 0 with a detailed, step-by-step solution. This problem explores square roots and key algebraic concepts, making it ideal for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation