https://file.aiquickdraw.com/mathbot/file/17267463817042boxjfwq.jpg

Let's solve the equation step by step.

### Given:
\[
5x^2 + 5 = 20
\]

### Step 1: Isolate the quadratic term.

Subtract 5 from both sides:
\[
5x^2 + 5 - 5 = 20 - 5
\]
\[
5x^2 = 15
\]

### Step 2: Divide both sides by 5 to simplify.
\[
x^2 = \frac{15}{5}
\]
\[
x^2 = 3
\]

### Step 3: Apply the square root property.
Take the square root of both sides:
\[
x = \pm \sqrt{3}
\]

### Solution Set:
The solution set is:
\[
x = \pm \sqrt{3}
\]

Thus, the exact answer is \( x = \sqrt{3}, -\sqrt{3} \).

---

Do you have any questions, or would you like more details? Here are a few related questions for further practice:

1. How would you solve \( 4x^2 + 8 = 28 \)?
2. What is the square root of 7 in radical form?
3. How do you solve quadratic equations using the quadratic formula?
4. How can you verify your solutions to \( x^2 = 3 \)?
5. What are the key differences between solving by factoring vs. the square root property?

**Tip:** Always simplify equations step by step to avoid errors, especially when applying the square root property.

Solve the equation 5x^2 + 5 = 20 by the square root property.

Learn how to solve the quadratic equation 5x^2 + 5 = 20 using the square root property. This solution covers key algebraic steps, isolating variables, and applying the square root theorem. Suitable for students in Grades 8-10.

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