Question

Does the equation √(4+5)=x have an extraneous solution?

Answer 1

*√(4x+5)=x

Answer 2

Yes, x = -3 is extraeous.

Only solution is x = 3.

Answer 3

So that means it's not extraneous because it only has one solution right? Thank you so much I really appreciate it!

Answer 4

Can you please explain how you got that?

Answer 5

No. When you solve the equation, you get two answers, x = 3 and x = -3.

However, x = -3 does NOT work for this equation, so we call it an extraneous solution. Hence, the only solution to this equation is x = 3.

Answer 6

Ohhhh, thank you!

Answer 7

welcome.