Ariel is trying to determine if x=−3 is a solution to the quadratic equation −3x2−9x=0. Which explanation demonstrates the correct reasoning?(1 point) Responses 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 FalseNo, 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 negative 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 0=0 TrueYes, 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 FalseNo, 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

Question

Ariel is trying to determine if x=−3 is a solution to the quadratic equation −3x2−9x=0. Which explanation demonstrates the correct reasoning?(1 point) Responses 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 FalseNo, 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 negative 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 0=0 TrueYes, 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 FalseNo, 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

Answer 1

The correct explanation is:

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

Answer 2

The correct explanation is: No, x=−3 is not a solution because substituting it back into the equation results in the following:

x Substituted = -3

Evaluate:
-3(−3)2−9(−3)=0

This simplifies to -3(9)+27=0

-27+27=0

0=0

True

Therefore, the statement is False.

Answer 3

The correct explanation is: "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"

To determine if x = -3 is a solution to the quadratic equation -3x^2 - 9x = 0, we substitute -3 for x in the equation and simplify:
-3(-3)^2 - 9(-3) = 0.
-3(9) + 27 = 0.
-27 + 27 = 0.
0 = 0.

Since the equation simplifies to 0 = 0, which is a true statement, we can conclude that x = -3 is indeed a solution to the quadratic equation.