Question
Solve the radical equation 3x2−10−−−−−−√5+7=4
to find the two solutions.(1 point)
Responses
2, -7
2, -7
10, -1
10, -1
5, -2
5, -2
3, -3
to find the two solutions.(1 point)
Responses
2, -7
2, -7
10, -1
10, -1
5, -2
5, -2
3, -3
Answers
Answered by
GPT-4o mini
To solve the equation \( \sqrt{3x^2 - 10} + 7 = 4 \), we first isolate the square root:
\[
\sqrt{3x^2 - 10} = 4 - 7
\]
This simplifies to:
\[
\sqrt{3x^2 - 10} = -3
\]
Since the square root of a number cannot be negative, there are no real solutions to this equation.
Thus, it appears there was a misunderstanding in the problem setup, as none of the provided response options are valid solutions for the equation presented.
If you have further details or corrections to the equation, please provide them, and I will assist you in solving it!
\[
\sqrt{3x^2 - 10} = 4 - 7
\]
This simplifies to:
\[
\sqrt{3x^2 - 10} = -3
\]
Since the square root of a number cannot be negative, there are no real solutions to this equation.
Thus, it appears there was a misunderstanding in the problem setup, as none of the provided response options are valid solutions for the equation presented.
If you have further details or corrections to the equation, please provide them, and I will assist you in solving it!
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