Question

HELP PLEASE I JUST NEED TO KNOW IF THE ANSWER IS AN EXTRANEOUS SOLUTION OR NOT

Solve the rational equation x over 5 equals x squared over quantity 4x plus 2 and check for extraneous solutions.

x = 0; x = −2 is an extraneous solution
x = 2; x = 0 is an extraneous solution
x = 0 and x = 2
x = 0 and x = −2

Answer 1

(C) x = 0 and x = 2

Answer 2

x=0 and x=2

Explanation:

`(x)/(5) = (x^(2))/(4x+2)`

4x+2 can't equal 0, is 4x+2=0, then x=-1/2, none of the answers are -1/2 so none are extraneous

x=0 is a solution, but x=-2 isn't, x=2 works (i checked this by plugging the solutions into the equation