Question

Solve the rational equation x over 4 equals x squared over quantity 3x plus 3 and check for extraneous solutions.
x = −3; x = 0 is an extraneous solution
x = 0; x = −3 is an extraneous solution
x = 0 and x = 3
x = 0 and x = −3

Answer 1

Answer: Option 1- x = 0; x = 2 is an extraneous solution

Step-by-step explanation:

Given : The rational equation

To find : Solve the equation and check for extraneous solutions ?

Solution :

The equation

Cross multiply

For extraneous solution put the value of x in the equation,

At x=0,

True

At x=2,

True

So, At x=0,2 is an extraneous solution

Therefore, Option 1 is correct.