Asked by GET_JiNXEDXD
What value makes this equation undefined?
x+3/2x+4=18
Hint: the equation on the bottom can not equal zero!
(1 point)
x+3/2x+4=18
Hint: the equation on the bottom can not equal zero!
(1 point)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the value that makes the equation undefined, we need to identify when the denominator equals zero.
The equation you've provided can be interpreted as:
\[
\frac{x + 3}{2x + 4} = 18
\]
The denominator is \(2x + 4\). To find when the fraction is undefined, we set the denominator equal to zero and solve for \(x\):
\[
2x + 4 = 0
\]
Subtract 4 from both sides:
\[
2x = -4
\]
Now, divide both sides by 2:
\[
x = -2
\]
Thus, the value that makes the equation undefined is \(\boxed{-2}\).
The equation you've provided can be interpreted as:
\[
\frac{x + 3}{2x + 4} = 18
\]
The denominator is \(2x + 4\). To find when the fraction is undefined, we set the denominator equal to zero and solve for \(x\):
\[
2x + 4 = 0
\]
Subtract 4 from both sides:
\[
2x = -4
\]
Now, divide both sides by 2:
\[
x = -2
\]
Thus, the value that makes the equation undefined is \(\boxed{-2}\).
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