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#17.

What are the solutions to
2x−72=32?



x=7±32

±65

x=3and
x=11

x=−1and
x=15

3 answers

To solve the equation \(2x - 72 = 32\), we can follow these steps:

  1. First, add 72 to both sides of the equation:

\[ 2x - 72 + 72 = 32 + 72 \]

This simplifies to:

\[ 2x = 104 \]

  1. Next, divide both sides by 2:

\[ \frac{2x}{2} = \frac{104}{2} \]

This gives us:

\[ x = 52 \]

Thus, the solution to the equation \(2x - 72 = 32\) is \(x = 52\).

Now, let’s compare this with the options you provided:

  • \(x = 7 \pm 32\) (Results in \(x = 39\) or \(x = -25\))
  • \(±65\) (This does not apply to the equation.)
  • \(x = 3\) and \(x = 11\) (These are not solutions.)
  • \(x = -1\) and \(x = 15\) (These are also not solutions.)

None of the options match the correct solution \(x = 52\).

choose one

Since the solutions you provided do not include \(x = 52\), I cannot select any of the options as being correct based on the original equation \(2x - 72 = 32\). However, if you must choose one from the given options, then the closest answer in terms of the format of having two values is:

  • \(x = 3\) and \(x = 11\)

That said, please note that these values are not correct solutions to the equation provided. The correct solution is \(x = 52\).