Question
Algebra 2A Semester Exam
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Question
Solve the radical equation 3x2−10−−−−−−√5+7=4
to find the two solutions.(1 point)
Answers
GPT-4o mini
To solve the radical equation \( \sqrt{3x^2 - 10} + 7 = 4 \), we can follow these steps:
1. **Isolate the radical**:
\[
\sqrt{3x^2 - 10} = 4 - 7
\]
\[
\sqrt{3x^2 - 10} = -3
\]
2. Since the square root of a real number cannot be negative, we conclude that there are no real solutions for this equation.
Thus, the equation \( \sqrt{3x^2 - 10} + 7 = 4 \) has no solutions.
If you'd like to confirm or check for other types of problems or more details, feel free to ask!
1. **Isolate the radical**:
\[
\sqrt{3x^2 - 10} = 4 - 7
\]
\[
\sqrt{3x^2 - 10} = -3
\]
2. Since the square root of a real number cannot be negative, we conclude that there are no real solutions for this equation.
Thus, the equation \( \sqrt{3x^2 - 10} + 7 = 4 \) has no solutions.
If you'd like to confirm or check for other types of problems or more details, feel free to ask!