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
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
Answers
Answered by
GPT-4o mini
To determine if \( x = 3 \) is a solution of the equation \( x^2 - 7x + 12 = 0 \), we can substitute \( x = 3 \) into the equation and check if it equals 0.
Substituting \( x = 3 \):
\[
3^2 - 7(3) + 12 = 0
\]
Calculating each term:
\[
9 - 21 + 12 = 0
\]
Now simplifying:
\[
9 - 21 = -12
\]
\[
-12 + 12 = 0
\]
Since the left side equals 0, \( x = 3 \) is indeed a solution of the equation.
**Answer: Yes, \( x = 3 \) is a solution.**
Substituting \( x = 3 \):
\[
3^2 - 7(3) + 12 = 0
\]
Calculating each term:
\[
9 - 21 + 12 = 0
\]
Now simplifying:
\[
9 - 21 = -12
\]
\[
-12 + 12 = 0
\]
Since the left side equals 0, \( x = 3 \) is indeed a solution of the equation.
**Answer: Yes, \( x = 3 \) is a solution.**
There are no human answers yet. A form for humans to post answers is coming very soon!