To solve the quadratic equation \( x^2 - 5 = 0 \), follow these steps:

1. **Isolate the squared term:**
   \[
   x^2 = 5
   \]

2. **Take the square root of both sides:**
   \[
   x = \pm \sqrt{5}
   \]

So, the solutions are \( x = \sqrt{5} \) and \( x = -\sqrt{5} \).

Would you like more details or have any questions?

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Here are some related questions:

1. How do you solve a quadratic equation using the quadratic formula?
2. What are the properties of the square root function?
3. How do you simplify square roots of non-perfect squares?
4. What is the difference between rational and irrational numbers?
5. How do you graph quadratic equations?
6. How can you complete the square for a quadratic equation?
7. What are the real and complex solutions of a quadratic equation?
8. How do you solve quadratic equations by factoring?

**Tip:** Remember, when solving equations with square roots, always consider both the positive and negative roots unless the context restricts the solution.

Learn how to solve the quadratic equation x^2 - 5 = 0 step-by-step with a detailed solution. Understand the quadratic formula and how to apply it to find both positive and negative roots of the equation. Suitable for students in Grades 7-9.

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