Question

Solve Radical Equation:

Answer 1

\[\sqrt{1-x ^{2}}+2=3\]

Answer 2

you're kidding right?

Answer 3

@nincompoop actually I am not... it has been awhile since I have looked at math this summer.

Answer 4

how do you want to do this?

Answer 5

get rid of the radical first?

Answer 6

I was going to subtract two from 3.

Answer 7

First bring the 2 on to the other side:

sqrt(1-x^2) = 1

Now square both sides:

1-x^2 = 1

Can you solve it from here? Btw at the end you will get 2 values for 'x'. Plug them both in to the original equation to see which one ACTUALLY works.

@MathLegend

Answer 8

Yes, that will be your first step.

Answer 9

yes

Answer 10

correct
then?

Answer 11

Then I can square the 1-x^2 and the 1 on the opposite side of the equal sign?

Answer 12

okay good
and then?

Answer 13

Yeah but I'm left with... 1-x^2 = 1 ???

Answer 14

okay and then?
you want x right? keep isolating it

Answer 15

add 1 to both sides

Answer 16

add?

Answer 17

subtract

Answer 18

good and then?

Answer 19

-x^2 = 0

Answer 20

then?

Answer 21

do I square root this?

Answer 22

After you subtract, what is left?

Answer 23

-x^2=0

Answer 24

you want to remove -1 first
remember that -x^ means -1x^2

Answer 25

divide by -1?

Answer 26

okay do it

Answer 27

x^2 = 0

Answer 28

then undo the ^2 by?

Answer 29

Yes, because you cannot take a square root of a negative number.

Answer 30

square root it.. but the square root of 0 is 0 right?

Answer 31

You got it!!!

Answer 32

1. Subtract 2 from both sides.
2. Square both sides.
3. Subtract 1 from both sides.
4. Multiply both sides by -1
5. Take the square root of both sides.

Answer 33

see? you're not that rusty
when you rest you rust

Answer 34

:) I hope I can finish this packet...

Answer 35

You'll do fine. You have been doing great so far. I think your biggest obstacle is not being confident in your knowledge. You do seem to know what you are doing. :-)

Answer 36

PRACTICE ON THIS TOO
OR REHASH YOUR KNOWLEDGE FROM IT http://www.scribd.com/doc/72151240/Michael-Spivak-Calculus