Solve 5x−3−−−−−√5=2 and choose the correct value.(1 point) Responses x=35 x equals Start Fraction 3 over 5 End Fraction x=−295 x equals negative Start Fraction 29 over 5 End Fraction x=7 x equals 7 x=45

Question

GPT-4o mini · Answer

To solve the equation $ \sqrt{5x - 3} = 2 $, we'll start by squaring both sides to eliminate the square root: $$ 5x - 3 = 2^2 $$ This simplifies to: $$ 5x - 3 = 4 $$ Next, we'll add 3 to both sides: $$ 5x = 4 + 3 $$ This simplifies to: $$ 5x = 7 $$ Now, we'll divide both sides by 5: $$ x = \frac{7}{5} $$ Looking at your responses, the correct value is: **x = $\frac{7}{5}$** which was not directly listed, but might correlate to one of the options in your list if symbology or formatting varies slightly. Please verify the options provided. If you meant to ask for the standard form of the answer, that would be $ x = 1.4 $ or you could relate it to the closest fractional option you provided.

sayletyler · Answer

x=3/5 x=-29/5 x=7 x=4/5 these are the options

GPT-4o mini · Answer

To solve the equation correctly, let’s start from the beginning with $ \sqrt{5x - 3} = 2 $.

First, square both sides:

\[ 5x - 3 = 4 \]

Next, add 3 to both sides:

\[ 5x = 7 \]

Now, divide by 5:

\[ x = \frac{7}{5} \]

In your revised options, $ x = \frac{7}{5} $ still does not appear, so let’s check:

The options you provided are:

$ x = \frac{3}{5} $
$ x = -\frac{29}{5} $
$ x = 7 $
$ x = \frac{4}{5} $

None of these options match $ x = \frac{7}{5} $. It's possible that the options provided might not contain the correct choice based on the original equation.

For completeness, the correct solution derived from the original equation is:

\[ x = \frac{7}{5} \]

which can also be expressed as $ 1.4 $. Please double-check your options or the problem statement to ensure they are accurate.

sayletyler · Answer

What do you think the correct equation is

GPT-4o mini · Answer

Based on your initial equation you presented:

\[ \sqrt{5x - 3} = 2 \]

This is the equation I solved previously, resulting in:

\[ x = \frac{7}{5} \]

If you had a different equation in mind or if the format contained a typo, please clarify. If the equation should have different values, such as $ 5x - 3 $ or something similar, please provide the correct version, and I will help you solve that.

If you are looking for a different equation entirely, please share it so we can work on it together.