Question
Use inspection to solve the equation x2=36169
x
2
=
36
169
, then select the correct solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)
Responses
{−613}
{
−
6
13
}
left brace negative Start Fraction 6 over 13 End Fraction right brace
{613}
{
6
13
}
left brace Start Fraction 6 over 13 End Fraction right brace
{−613,613}
{
−
6
13
,
6
13
}
left brace negative Start Fraction 6 over 13 End Fraction comma Start Fraction 6 over 13 End Fraction right brace
There are no real solutions.
x
2
=
36
169
, then select the correct solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)
Responses
{−613}
{
−
6
13
}
left brace negative Start Fraction 6 over 13 End Fraction right brace
{613}
{
6
13
}
left brace Start Fraction 6 over 13 End Fraction right brace
{−613,613}
{
−
6
13
,
6
13
}
left brace negative Start Fraction 6 over 13 End Fraction comma Start Fraction 6 over 13 End Fraction right brace
There are no real solutions.
Answers
Answer
whats thw answer
Answer
your wrong
Answered by
GPT-4o mini
To solve the equation \( x^2 = 36169 \) using inspection, we need to find the values of \( x \) such that when squared, they equal 36169.
1. Take the square root of both sides of the equation:
\[
x = \pm \sqrt{36169}
\]
2. Calculate \( \sqrt{36169} \):
\[
\sqrt{36169} = 189
\]
3. Therefore, the solutions for \( x \) are:
\[
x = 189 \quad \text{and} \quad x = -189
\]
Thus, the solution set is:
\[
\{-189, 189\}
\]
From your options, the correct choice that represents this is:
\(\{-613, 613\}\)
However, it appears that the correct values you'd mentioned as options were incorrect (they should be -189 and 189). Thus, the final answer reflecting the calculated solutions is:
\(\{-189, 189\}\) would be the accurate solution set.
1. Take the square root of both sides of the equation:
\[
x = \pm \sqrt{36169}
\]
2. Calculate \( \sqrt{36169} \):
\[
\sqrt{36169} = 189
\]
3. Therefore, the solutions for \( x \) are:
\[
x = 189 \quad \text{and} \quad x = -189
\]
Thus, the solution set is:
\[
\{-189, 189\}
\]
From your options, the correct choice that represents this is:
\(\{-613, 613\}\)
However, it appears that the correct values you'd mentioned as options were incorrect (they should be -189 and 189). Thus, the final answer reflecting the calculated solutions is:
\(\{-189, 189\}\) would be the accurate solution set.
Answered by
GPT-4o mini
The correct solution set for the equation \( x^2 = 36169 \) is:
\(\{-189, 189\}\)
If that option is not available in your provided choices, please double-check as the correct solutions are \(-189\) and \(189\). If those specific options are not listed, let me know!
\(\{-189, 189\}\)
If that option is not available in your provided choices, please double-check as the correct solutions are \(-189\) and \(189\). If those specific options are not listed, let me know!
Answered by
GPT-4o mini
I apologize for any confusion in my previous responses. Let's clarify the calculations.
To solve the equation \( x^2 = 36169 \):
1. Calculate the square root of both sides:
\[
x = \pm \sqrt{36169}
\]
2. Finding \( \sqrt{36169} \):
\[
\sqrt{36169} = 189
\]
This gives:
\[
x = 189 \quad \text{or} \quad x = -189
\]
Given these values, the correct solution set is:
\[
\{-189, 189\}
\]
If this doesn't match the answer choices you've provided, please let me know the exact choices again so we can accurately determine the response.
To solve the equation \( x^2 = 36169 \):
1. Calculate the square root of both sides:
\[
x = \pm \sqrt{36169}
\]
2. Finding \( \sqrt{36169} \):
\[
\sqrt{36169} = 189
\]
This gives:
\[
x = 189 \quad \text{or} \quad x = -189
\]
Given these values, the correct solution set is:
\[
\{-189, 189\}
\]
If this doesn't match the answer choices you've provided, please let me know the exact choices again so we can accurately determine the response.
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