
Solve the following quadratic equation by using algebra:
x 
2
 −5=−4

To solve the quadratic equation \( x^2 - 5 = -4 \) using algebra, follow these steps:

### Step 1: Add 5 to both sides of the equation.
\[
x^2 - 5 + 5 = -4 + 5
\]
\[
x^2 = 1
\]

### Step 2: Take the square root of both sides.
\[
x = \pm \sqrt{1}
\]

### Step 3: Simplify the square root.
\[
x = \pm 1
\]

Thus, the solution to the equation is:
\[
x = 1 \quad \text{or} \quad x = -1
\]

Would you like any more details or clarifications on these steps?

Here are 5 related questions you could explore:
1. How would you solve \( x^2 - 3 = 0 \)?
2. What happens when the quadratic equation has no real solutions?
3. Can you solve \( x^2 + 4 = 0 \) and explain why the solution is different?
4. How do you factor a quadratic expression like \( x^2 - 1 = 0 \)?
5. What are the steps to solve a quadratic equation using the quadratic formula?

**Tip:** Always check your solution by substituting the values of \( x \) back into the original equation.

Solve the following quadratic equation by using algebra: x^2 − 5 = −4

Discover how to solve the quadratic equation x^2 − 5 = −4 step by step, using algebraic methods such as the square root. Learn key concepts like balancing equations and taking square roots. This tutorial is ideal for students in Grades 7-9 studying quadratic equations.

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