Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for extraneous solutions.

Question

Mathematics

Madisyn Keith

24 September, 09:11

Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for extraneous solutions.

+5

Answers (1)

Know the Answer?

Pamela Hardin · Answer 1

0, - 2

Step-by-step explanation:

x/2 = x² / (x-2)

x² - 2x = 2x²

x² + 2x = 0

x (x + 2) = 0

x = 0, - 2

0/2 = 0² / (0-2)

0 = 0

-2/2 = (-2) ² / (-2-2)

-1 = 4/-4

-1 = - 1