Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 15 \) or \( x = -15 \)
Solution
To solve the equation \( 5x^{2} = 1125 \) for \( x \), follow these steps:
1. **Divide both sides by 5** to isolate \( x^2 \):
\[
x^{2} = \frac{1125}{5} = 225
\]
2. **Take the square root of both sides** to solve for \( x \). Remember that both positive and negative roots are possible:
\[
x = \pm \sqrt{225} = \pm 15
\]
**Solution:**
\[
x = 15 \quad \text{or} \quad x = -15
\]
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Simplify this solution Beyond the Answer
To solve the equation \( 5 x^{2}=1125 \), first divide both sides by 5: \[ x^{2} = \frac{1125}{5} = 225. \] Next, take the square root of both sides: \[ x = \pm \sqrt{225} = \pm 15. \] So, the solutions are \( x = 15 \) and \( x = -15 \). Now you've got your answers, and remember, every equation tells a story, so feel free to think of this as finding hidden treasures in the mathematical treasure map!
