Question

Ariel is trying to determine if x = -3 is a solution to the quadratic equation -3x^2 - 9x = 0. Which explanation
demonstrates the correct reasoning? (1 point)
- No, x = -3 is not a solution because substituting it back into the equation results in the following:
This table shows the evaluation of an expression for a specific value of x, demonstrating the substitution, the resulting calculation, and the confirmation that the statement is true. False
-Yes, x = —3 is a solution because substituting it back into the equation results in the following:
This table shows the evaluation of an expression for a specific value of x, demonstrating the substitution, the resulting calculation, and the confirmation that the statement is true.True
-Yes, x = -3 is a solution because substituting it back into the equation results in the following:
This table shows the evaluation of an expression for a specific value of x, demonstrating the substitution, the resulting calculation, and the confirmation that the statement is true.True
-No, x = -3 is not a solution because substituting it back into the equation results in the following:
This table shows the evaluation of an expression for a specific value of x, demonstrating the substitution, the resulting calculation, and the confirmation that the statement is true. False

Answer 1

Yes. Substituting x = -3 gives

-3(-3)^2 - 9(-3) = -3(9) + 27 = -27 + 27 = 0,

so the equation is satisfied. Therefore x = -3 is a solution.