(Multiple Choice, 20 pts) Solve the rational equation x divided by 4 equals x squared divided by quantity x plus 2 end quantity, and check for extraneous solutions.

A. x = two thirds; 0 is an extraneous solution
B. x = 0; x = two thirds is an extraneous solution
C. x = 0 and x = two thirds
D. No solution

B.

Step-by-step explanation:

Step 1: Cross-multiply

x² + 2x = 4x²

Step 2: Isolate x's

2x = 3x²

0 = 3x² - 2x

Step 3: Factor

x(3x - 2) = 0

Step 4: Find roots

x = 0, x = 2/3

Step 5: Double check answers.

When you do so, you should see that only x = 0 works. And we have our answer!

the answer is a

step-by-step explanation: