Question

What value makes the equation −5 = 4−3/x4−3x undefined?(1 point)
Responses

−4/3
negative Start Fraction 4 over 3 End Fraction

−3/4
negative Start Fraction 3 over 4 End Fraction

4/3
Start Fraction 4 over 3 End Fraction

3/4

Answer 1

whats the answer

Answer 2

To determine when the equation \(-5 = \frac{4 - 3}{x^4 - 3x}\) is undefined, we need to analyze the denominator \(x^4 - 3x\).

The expression is undefined when the denominator equals zero:

\[
x^4 - 3x = 0
\]

We can factor out \(x\):

\[
x(x^3 - 3) = 0
\]

Setting each factor to zero gives us:

1. \(x = 0\)
2. \(x^3 - 3 = 0 \Rightarrow x^3 = 3 \Rightarrow x = \sqrt[3]{3}\)

Thus, the values that make the equation undefined are \(x = 0\) and \(x = \sqrt[3]{3}\).

Now, none of the provided answers \(-\frac{4}{3}\), \(-\frac{3}{4}\), \(\frac{4}{3}\), or \(\frac{3}{4}\) are equal to either of those values.

Therefore, none of the provided options directly lead to the equation being undefined, since it is undefined at \(x = 0\) and \(x = \sqrt[3]{3}\).

If I need to select only from the provided responses, they do not represent any values that cause the equation to be undefined.

Answer 3

To find out when the expression \(-5 = \frac{4 - 3}{x^4 - 3x}\) is undefined, we look at the denominator \(x^4 - 3x\).

Setting the denominator to zero:

\[
x^4 - 3x = 0
\]

Factoring out \(x\):

\[
x(x^3 - 3) = 0
\]

This gives us two conditions:

1. \(x = 0\)
2. \(x^3 - 3 = 0 \Rightarrow x = \sqrt[3]{3}\)

The values that make the equation undefined cannot be found directly from the provided response options \(-\frac{4}{3}\), \(-\frac{3}{4}\), \(\frac{4}{3}\), or \(\frac{3}{4}\).

However, if there is a misunderstanding and we are only checking for the responses given, the answer doesn't appear on the list.

If you were looking for a match from the list, please clarify, as none of the answers make the original equation undefined based on the calculations provided.