17 Select the correct answer. What are the solutions to the equation $$ x^{2}-1=399 $$ ? A. $$ x=20 $$ and $$ x=-20 $$ B. $$ x=200 $$ and $$ x=-200 $$ C. $$ x=400 $$ and $$ x=-400 $$ D. $$ x=\sqrt{398} $$ and $$ x=-\sqrt{398} $$ D.

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UpStudy AI · Accepted Answer

To solve the equation $$ x^{2} - 1 = 399 $$, follow these steps:

1. **Add 1 to both sides:**
   $$
   x^{2} = 399 + 1
   $$
   $$
   x^{2} = 400
   $$

2. **Take the square root of both sides:**
   $$
   x = \sqrt{400} \quad \text{or} \quad x = -\sqrt{400}
   $$
   $$
   x = 20 \quad \text{or} \quad x = -20
   $$

**Therefore, the solutions are $$ x = 20 $$ and $$ x = -20 $$.**

**Correct Answer:**  
**A. $$ x = 20 $$ and $$ x = -20 $$**
The solutions are $$ x = 20 $$ and $$ x = -20 $$.

17 Select the correct answer. What are the solutions to the equation \( x^{2}-1=399 \) ? A. \( x=20 \) and \( x=-20 \) B. \( x=200 \) and \( x=-200 \) C. \( x=400 \) and \( x=-400 \) D. \( x=\sqrt{398} \) and \( x=-\sqrt{398} \) D.

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