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
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 negative 54 does not equal 0 False
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 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 54 equals 0 True
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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