Math Problem Statement

Solve: s^2 - 9 = 0

Solution

The equation shown is:

s29=0s^2 - 9 = 0

To solve for ss, let's follow these steps:

Step 1: Rearrange the Equation

Add 9 to both sides:

s2=9s^2 = 9

Step 2: Take the Square Root of Both Sides

To isolate ss, take the square root of both sides:

s=±9s = \pm \sqrt{9}

Step 3: Simplify the Square Root

The square root of 9 is 3, so:

s=±3s = \pm 3

Final Answer

The solutions are:

s=3,3s = 3, -3

Would you like more details on any part of the solution, or have any questions?


Here are some related questions for further practice:

  1. What are the solutions to s216=0s^2 - 16 = 0?
  2. Solve the equation x225=0x^2 - 25 = 0.
  3. If s24=0s^2 - 4 = 0, what values of ss satisfy this equation?
  4. How would you solve s2+9=0s^2 + 9 = 0?
  5. What are the steps to solve s21=0s^2 - 1 = 0?

Tip: For equations like s2a=0s^2 - a = 0, remember you can always isolate s2s^2 by moving aa to the other side, then take the square root, considering both the positive and negative roots.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Factoring

Formulas

s^2 = 9
s = ±√9

Theorems

Square Root Property

Suitable Grade Level

Grades 7-9