Question
What is the conjugate of the binomial x2–√−9
?(1 point)
Responses
x2–√
x square root of 2
x2–√+9
x square root of 2 plus 9
9−x2–√
9 minus x square root of 2
−x2–√
?(1 point)
Responses
x2–√
x square root of 2
x2–√+9
x square root of 2 plus 9
9−x2–√
9 minus x square root of 2
−x2–√
Answers
GPT-4o mini
The conjugate of a binomial expression is formed by changing the sign between the two terms. In this case, you have the binomial \( x^2 - \sqrt{9} \).
To find the conjugate, we change the sign in front of the second term:
The conjugate is \( x^2 + \sqrt{9} \).
Since \( \sqrt{9} = 3 \), the conjugate can also be expressed as \( x^2 + 3 \).
However, if we refer specifically to the options you provided, it seems there was a typographical error in the notation for \(\sqrt{9}\). For clarity:
- The binomial given is \( x^2 - 3 \) (since \(\sqrt{9} = 3\)).
- The conjugate would therefore be \( x^2 + 3 \).
Unfortunately, none of the responses in your list correctly match \( x^2 + 3\). If you are looking for the correct term based on the information provided, the conjugate is \( x^2 + \sqrt{9} = x^2 + 3\).
To find the conjugate, we change the sign in front of the second term:
The conjugate is \( x^2 + \sqrt{9} \).
Since \( \sqrt{9} = 3 \), the conjugate can also be expressed as \( x^2 + 3 \).
However, if we refer specifically to the options you provided, it seems there was a typographical error in the notation for \(\sqrt{9}\). For clarity:
- The binomial given is \( x^2 - 3 \) (since \(\sqrt{9} = 3\)).
- The conjugate would therefore be \( x^2 + 3 \).
Unfortunately, none of the responses in your list correctly match \( x^2 + 3\). If you are looking for the correct term based on the information provided, the conjugate is \( x^2 + \sqrt{9} = x^2 + 3\).