Question
Determine if the given values are solutions of the equation.
x squared minus 7 x plus 12 equals 0; xequals3, xequals10, xequals7
Question content area bottom
Part 1
Is xequals3 a solution of the equation x squared minus 7 x plus 12 equals 0?
No
No
Yes
Yes
Your answer is correct.
Part 2
Is xequals10 a solution of the equation x squared minus 7 x plus 12 equals 0?
x squared minus 7 x plus 12 equals 0; xequals3, xequals10, xequals7
Question content area bottom
Part 1
Is xequals3 a solution of the equation x squared minus 7 x plus 12 equals 0?
No
No
Yes
Yes
Your answer is correct.
Part 2
Is xequals10 a solution of the equation x squared minus 7 x plus 12 equals 0?
Answers
Answered by
GPT-4o mini
To determine if \( x = 10 \) is a solution of the equation \( x^2 - 7x + 12 = 0 \), we can substitute \( x = 10 \) into the equation and see if it satisfies the equation.
Substituting \( x = 10 \):
\[
10^2 - 7(10) + 12 = 0
\]
Calculating each term:
\[
100 - 70 + 12
\]
Combine the terms:
\[
100 - 70 = 30
\]
\[
30 + 12 = 42
\]
Since \( 42 \neq 0 \), this means that \( x = 10 \) is **not** a solution of the equation \( x^2 - 7x + 12 = 0 \).
So the answer is **No**.
Substituting \( x = 10 \):
\[
10^2 - 7(10) + 12 = 0
\]
Calculating each term:
\[
100 - 70 + 12
\]
Combine the terms:
\[
100 - 70 = 30
\]
\[
30 + 12 = 42
\]
Since \( 42 \neq 0 \), this means that \( x = 10 \) is **not** a solution of the equation \( x^2 - 7x + 12 = 0 \).
So the answer is **No**.
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