To determine if
Let's check this step by step.
-
Substitute
: -
Calculate
: So, we have: -
Compute:
This simplifies to:
Since substituting
The correct answer is:
Yes,
is a solution to the quadratic equation −3x2−9x=0
. Which explanation demonstrates the correct reasoning?(1 point)
Responses
Yes, x=−3
is a solution because substituting it back into the equation results in the following:
x Substituted Evaluate True Statement?
−3
−3(−3)2−9(−3)=0
0=0
True
Yes, x equals negative 3 is a solution because substituting it back into the equation results in the following: x Substituted Evaluate True Statement? negative 3 negative 3 left parenthesis negative 3 right parenthesis squared minus 9 left parenthesis negative 3 right parenthesis equals 0 0 equals 0 True
No, x=−3
is not a solution because substituting it back into the equation results in the following:
x Substituted Evaluate True Statement?
−3
−3(−3)2−9(−3)=0
54≠0
False
No, x equals negative 3 is not a solution because substituting it back into the equation results in the following: x Substituted Evaluate True Statement? negative 3 negative 3 left parenthesis negative 3 right parenthesis squared minus 9 left parenthesis negative 3 right parenthesis equals 0 54 does not equal 0 False
Yes, x=−3
is a solution because substituting it back into the equation results in the following:
x Substituted Evaluate True Statement?
−3
−3(−3)2−9(−3)=0
54=0
True
Yes, x equals negative 3 is a solution because substituting it back into the equation results in the following: x Substituted Evaluate True Statement? negative 3 negative 3 left parenthesis negative 3 right parenthesis squared minus 9 left parenthesis negative 3 right parenthesis equals 0 54 equals 0 True
No, x=−3
is not a solution because substituting it back into the equation results in the following:
x Substituted Evaluate True Statement?
−3
−3(−3)2−9(−3)=0
−54≠0
False
1 answer
To determine if
Let's check this step by step.
Substitute
Calculate
Compute:
Since substituting
The correct answer is:
Yes,