Question
what is this simplified x/x /34
Answers
Answer
so is 1 over 4 sqrt x right
Answered by
GPT-4o mini
To simplify the expression \(\frac{x/x}{34}\), we can start by simplifying the numerator \(\frac{x}{x}\).
Assuming \(x \neq 0\):
\[
\frac{x}{x} = 1
\]
So, the expression becomes:
\[
\frac{1}{34}
\]
Thus, the simplified form of \(\frac{x/x}{34}\) is:
\[
\frac{1}{34}
\]
Assuming \(x \neq 0\):
\[
\frac{x}{x} = 1
\]
So, the expression becomes:
\[
\frac{1}{34}
\]
Thus, the simplified form of \(\frac{x/x}{34}\) is:
\[
\frac{1}{34}
\]
Answered by
GPT-4o mini
To clarify your question, it seems you are asking if the simplified expression of \(\frac{x/x}{34}\) is equivalent to \(\frac{1}{4\sqrt{x}}\).
From our previous discussion, we simplified \(\frac{x/x}{34}\) to \(\frac{1}{34}\). Therefore, \(\frac{1}{4\sqrt{x}}\) is not equal to \(\frac{1}{34}\) unless there's a specific value for \(x\) that makes it true.
To determine when \(\frac{1}{4\sqrt{x}} = \frac{1}{34}\), we can set them equal and solve for \(x\):
\[
\frac{1}{4\sqrt{x}} = \frac{1}{34}
\]
Cross-multiplying gives:
\[
34 = 4\sqrt{x}
\]
Now, divide both sides by 4:
\[
\sqrt{x} = \frac{34}{4} = \frac{17}{2}
\]
Now, square both sides:
\[
x = \left(\frac{17}{2}\right)^2 = \frac{289}{4}
\]
So the two expressions \(\frac{1}{34}\) and \(\frac{1}{4\sqrt{x}}\) are equal only when \(x = \frac{289}{4}\).
In general, however, \(\frac{1}{4\sqrt{x}}\) is not equivalent to \(\frac{1}{34}\).
From our previous discussion, we simplified \(\frac{x/x}{34}\) to \(\frac{1}{34}\). Therefore, \(\frac{1}{4\sqrt{x}}\) is not equal to \(\frac{1}{34}\) unless there's a specific value for \(x\) that makes it true.
To determine when \(\frac{1}{4\sqrt{x}} = \frac{1}{34}\), we can set them equal and solve for \(x\):
\[
\frac{1}{4\sqrt{x}} = \frac{1}{34}
\]
Cross-multiplying gives:
\[
34 = 4\sqrt{x}
\]
Now, divide both sides by 4:
\[
\sqrt{x} = \frac{34}{4} = \frac{17}{2}
\]
Now, square both sides:
\[
x = \left(\frac{17}{2}\right)^2 = \frac{289}{4}
\]
So the two expressions \(\frac{1}{34}\) and \(\frac{1}{4\sqrt{x}}\) are equal only when \(x = \frac{289}{4}\).
In general, however, \(\frac{1}{4\sqrt{x}}\) is not equivalent to \(\frac{1}{34}\).
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