The equation given is:
\[ 8x^2 - 48 = 0 \]
To solve for \( x \), we can follow these steps:
1. **Isolate the quadratic term**:
\[ 8x^2 - 48 = 0 \]
Add 48 to both sides:
\[ 8x^2 = 48 \]
2. **Divide by 8**:
\[ x^2 = \frac{48}{8} \]
\[ x^2 = 6 \]
3. **Solve for \( x \) by taking the square root of both sides**:
\[ x = \pm \sqrt{6} \]
To find the approximate decimal values, we calculate the square root of 6.
\[ \sqrt{6} \approx 2.45 \]
Therefore, the solutions are:
\[ x \approx 2.45 \]
\[ x \approx -2.45 \]
So, the correct answers, rounded to the nearest hundredth, are:
\[ 2.45, -2.45 \]
The correct option from the given choices is:
2.45, –2.45
15.
Use any method to solve the equation. If necessary, round to the nearest hundredth.
8x2 − 48 = 0
0.41, –0.41
2.45, –2.45
6.93, –6.93
2.83, –2.83
1 answer