Question

I need help solving this rational equation

Answer 1

\[\sqrt{x+2} =x\]

Answer 2

I know you square both sides

Answer 3

So is it x+2 =X^2

Answer 4

It's a radical equation, not rational equation, but yes, after squaring both sides, rewrite in standard form, then use quadratic formula.

Answer 5

So \[X^2 -x-2?\]

Answer 6

Yes, and it looks factorable too.

Answer 7

*missing = 0

Answer 8

and, \(x \ne 2\)

Answer 9

? x=/=2 @rsadhvika

Answer 10

sorry was a typo, it shud be \(x \ne -2\)

Answer 11

Wolfram says the answer IS 2... http://www.wolframalpha.com/input/?i=find+solutions+to+sqrt+%28x%2B2%29+%3Dx

Answer 12

2 is one of the solutions.

Answer 13

ok it shud be \(x> -2\) :)

Answer 14

I meant to the quadratic, If you try the other one in the original equation though . . .

Answer 15

\(\bf \sqrt{x+2} =x \implies x + 2 = x^2 \implies 0 = x^2-x-2\\ \implies (x-\square?)(x+\square?)\)

Answer 16

or \(\bf (x-\square?)(x+\square?)=0 \) for that matter