Question

complex numbers online practice
complete this assessment to review what youve learned. it will not count towa
which of these potential solutions make $3x^2 - 27x = 0$ true? (1 point)
3 and 3
0 and 3
0 and $-9$
0 and 9

Explanation:

Step1: Factor the equation

Factor out \(3x\) from \(3x^2 - 27x = 0\), we get \(3x(x - 9)=0\).

Step2: Solve for x

Using the zero - product property, if \(ab = 0\), then either \(a = 0\) or \(b = 0\).
For \(3x(x - 9)=0\), we have two cases:
Case 1: \(3x=0\), then \(x = 0\) (dividing both sides by 3).
Case 2: \(x - 9=0\), then \(x=9\) (adding 9 to both sides).

Answer:

0 and 9 (the option with "0 and 9")