Question

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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

Answer 1

@ganeshie8 hlp.. plz...

Answer 2

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

Answer 3

or 7 is also under the root ?

Answer 4

So it would be x=21 right?

Answer 5

So, A.?

Answer 6

what is an extraneous and non-extraneous solution means ?

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

I don't get it. ^

Answer 11

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

Answer 12

I get a non-extraneous.

Answer 13

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

Answer 14

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

Answer 15

yw!

Answer 16

I got it right!!

Answer 17

nice