Question

Tristan says that solutions to radical equations are extraneous. Hadley says that solutions to radical equations are non-extraneous. Find an equation where Tristan is correct and a second equation where Hadley is correct. Using complete sentences, explain each step when solving to justify your examples.

Answer 1

Does anyone know what extraneous is?

Answer 2

An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

Answer 3

Does anyone know what extraneous is?

Answer 4

@Squickers I just told you what it is

Answer 5

oh sorry didn't see that

Answer 6

haha it is okay :)

Answer 7

welcome to os :D

Answer 8

thanks

Answer 9

do you need anymore help???

Answer 10

nah I figures it out

Answer 11

okay

Answer 12

\[\sqrt{x-2}=3\] for tristan

Answer 13

\[\sqrt{x-2}=3\] for Hadley

Answer 14

for tristan when you solve for x it gives you 11

Answer 15

then if replace 11 for x and simplify it gives 3=-3

Answer 16

meaning its extraneous

Answer 17

If you do the same thing for hadley it gives you 11 again

Answer 18

but when you replace x with 11 and simplify it gives you 3=3, not extraneous