anonymous
  • anonymous
solve for x: sqrt{5-sqrt{x+3}}=2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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myininaya
  • myininaya
\[\sqrt{5 -\sqrt{x+3}}=2 \] square both sides \[5-\sqrt{x+3}=2\] Subtract 5 on both sides \[-\sqrt{x+3}=2-5\] \[-\sqrt{x+3}=-3\] now square both sides
myininaya
  • myininaya
\[x+3=9\] not subtract 3 on both sides
myininaya
  • myininaya
be sure to plug in the result to check

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anonymous
  • anonymous
shouldn't it be a 4 on your second step
Rogue
  • Rogue
You forgot to square the 2 :P
myininaya
  • myininaya
yep
myininaya
  • myininaya
\[5-\sqrt{x+3}=4\]*
myininaya
  • myininaya
\[-\sqrt{x+3}=4-5\]
myininaya
  • myininaya
\[- \sqrt{x+3}=-1\] now square both sides
myininaya
  • myininaya
\[x+3=1 => x=-2\] not check this to make sure it is the solution thanks guy for making me aware of my mistake :)
myininaya
  • myininaya
now*
anonymous
  • anonymous
ahh thank you! the step by step way helped a lot!
myininaya
  • myininaya
lol great! :)

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