Question

solve the equation for x identify any extraneous solutions.

√x = -3

A. There is no real solution
B. -9 is a solution to the original equation. -9 is an extraneous solution.
C. 9 is a solution to the original equation
D. 9 is a solution to the original equation. -9 is an extraneous solution.

Answer 1

solve for x

Answer 2

How do I do that exactly?

Answer 3

how would you cancel out square root ??
do you konw ?

Answer 4

Hahaa no..sorry.

Answer 5

you should take square both side to cancel out square root
and to cancel out square you should take square root

Answer 6

I really suck at math, so English please? Like step by step or something?

Answer 7

ohh i didn't notice i typed that in Japanese :( sorry about that
you have to take square both side in order to cancel out square root

Answer 8

So square root of x and -3?

Answer 9

yes both side
not the square root
our goal is to solve for x right
so we have to take square both side

Answer 10

remember you can convert root to exponent
for example \[\huge\rm \sqrt{m} = m^\frac{ 1 }{ 2}\]
take square both side \[\large\rm (m^\frac{ 1 }{ 2 })^2\] \[\large\rm m^\frac{ 2 }{ 2 }\]
both 2 can cancel out so answer is m
now do you understand why we have to take square ?

Answer 11

More so than I did earlier so thank you for that :D

Answer 12

Alright, I think I can figure this out now so, THANK YOU SO MUCH NNESHA!