Math Problem Statement

2x^2 - 18 = 0

Solution

The equation in the image appears to be:

2x218=02x^2 - 18 = 0

To solve for xx, follow these steps:

  1. Move the constant to the other side: 2x2=182x^2 = 18

  2. Divide both sides by 2: x2=9x^2 = 9

  3. Take the square root of both sides: x=±3x = \pm 3

So, the solutions are x=3x = 3 and x=3x = -3.

Would you like further details or have any questions about this solution?

Here are 5 related questions you may find interesting:

  1. What are some methods for solving quadratic equations besides factoring?
  2. How do you solve a quadratic equation when the leading coefficient is negative?
  3. What is the general formula for solving any quadratic equation?
  4. How can you check if your solutions to a quadratic equation are correct?
  5. What happens when a quadratic equation has no real solutions?

Tip: Always check for common factors when solving quadratic equations—it can simplify the process significantly!

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Square Roots

Formulas

Quadratic equation form: ax^2 + bx + c = 0
Square root property

Theorems

Zero Product Property

Suitable Grade Level

Grades 7-9