## Agl202 one year ago Medal For help... -> Solve for x, given the equation Square root of x minus 5+ 7 = 11. x = 21, solution is extraneous x = 21, solution is not extraneous x = 81, solution is extraneous x = 81, solution is not extraneous

1. Agl202

@ganeshie8 hlp.. plz...

2. Nnesha

$\huge\rm \sqrt{x-5}+7=11$ like this ?

3. Nnesha

or 7 is also under the root ?

4. Agl202

So it would be x=21 right?

5. Agl202

So, A.?

6. Nnesha

what is an extraneous and non-extraneous solution means ?

7. Agl202

Extraneous Solution is a solution of the simplified form of an equation that does not satisfy the original equation.

8. Nnesha

okay. substitute x for its value into the original equation if both sides are equal then 21 isn't extraneous solution if both sides aren't equal then 21 is an extraneous solution

9. Nnesha

$\huge\rm \sqrt{x-5}+7=11$ replace x with 21 solve left side

10. Agl202

I don't get it. ^

11. Nnesha

x=21 right now to check if it's an extraneous or non-extraneous you should substitute x for 21

12. Agl202

I get a non-extraneous.

13. Nnesha

right $\sqrt{21-5}+7=11$ both sides are equal so it would be non-ex

14. Agl202

You deserve a medal! Thx u so much!!! :D

15. Nnesha

yw!

16. Agl202

I got it right!!

17. Nnesha

nice