Question

Solve the rational equation x over 4 equals x squared over quantity 3 times x plus 3 and check for extraneous solutions.

x = 1; x = 0 is an extraneous solution
x = 0; x = −1 is an extraneous solution
x = 0 and x = 1
x = 0 and x = −1

Answer 1

x is -9 is an extraneous solution

Explanation:

Given the expression

x/4 = x²/3(x+3)

We are to find the value of x

Cross multiply

3x(x+3) = 4x²

3x²+9x = 4x²

3x²-4x² = 9x

-x² = 9x

-x = 9

x = -9

Hence the value of x is -9 is an extraneous solution