MathLegend
  • MathLegend
Solve Radical Equation:
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
MathLegend
  • MathLegend
\[\sqrt{1-x ^{2}}+2=3\]
nincompoop
  • nincompoop
you're kidding right?
MathLegend
  • MathLegend
@nincompoop actually I am not... it has been awhile since I have looked at math this summer.

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More answers

nincompoop
  • nincompoop
how do you want to do this?
nincompoop
  • nincompoop
get rid of the radical first?
MathLegend
  • MathLegend
I was going to subtract two from 3.
anonymous
  • anonymous
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
anonymous
  • anonymous
Yes, that will be your first step.
nincompoop
  • nincompoop
yes
nincompoop
  • nincompoop
correct then?
MathLegend
  • MathLegend
Then I can square the 1-x^2 and the 1 on the opposite side of the equal sign?
nincompoop
  • nincompoop
okay good and then?
MathLegend
  • MathLegend
Yeah but I'm left with... 1-x^2 = 1 ???
nincompoop
  • nincompoop
okay and then? you want x right? keep isolating it
MathLegend
  • MathLegend
add 1 to both sides
nincompoop
  • nincompoop
add?
MathLegend
  • MathLegend
subtract
nincompoop
  • nincompoop
good and then?
MathLegend
  • MathLegend
-x^2 = 0
nincompoop
  • nincompoop
then?
MathLegend
  • MathLegend
do I square root this?
anonymous
  • anonymous
After you subtract, what is left?
MathLegend
  • MathLegend
-x^2=0
nincompoop
  • nincompoop
you want to remove -1 first remember that -x^ means -1x^2
MathLegend
  • MathLegend
divide by -1?
nincompoop
  • nincompoop
okay do it
MathLegend
  • MathLegend
x^2 = 0
nincompoop
  • nincompoop
then undo the ^2 by?
anonymous
  • anonymous
Yes, because you cannot take a square root of a negative number.
MathLegend
  • MathLegend
square root it.. but the square root of 0 is 0 right?
anonymous
  • anonymous
You got it!!!
Mertsj
  • Mertsj
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.
nincompoop
  • nincompoop
see? you're not that rusty when you rest you rust
MathLegend
  • MathLegend
:) I hope I can finish this packet...
anonymous
  • anonymous
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. :-)
nincompoop
  • nincompoop
nincompoop
  • nincompoop
PRACTICE ON THIS TOO OR REHASH YOUR KNOWLEDGE FROM IT http://www.scribd.com/doc/72151240/Michael-Spivak-Calculus

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