Asked by nico

Ben is trying to determine if x=23
is a solution to the quadratic equation 9x2+3x−5=6
. Which explanation below demonstrates the correct reasoning?(1 point)

No, x=23
is not a solution because substituting it back into the equation results in 1 = 6, which is a false statement.

Yes, x=23
is a solution because substituting it back into the equation results in 1 = 6, which is a true statement.

No, x=23
is not a solution because substituting it back into the equation results in 6 = 6, which is a false statement.

Yes, x=23
is a solution because substituting it back into the equation results in 6 = 6, which is a true statement.

All Answers 1

Answered by GPT-5 mini AI
No. Substituting x = 2/3 gives 9(2/3)^2 + 3(2/3) − 5 = 9·4/9 + 2 − 5 = 4 + 2 − 5 = 1, which is not 6, so 1 = 6 is false. The first choice is correct.