anonymous
  • anonymous
Algebra II Problems (work shown)
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1355298946753:dw|
nubeer
  • nubeer
u can start by squaring both sides.
nubeer
  • nubeer
|dw:1355259732990:dw|

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ZeHanz
  • ZeHanz
Before running off it it smart to take a look at two things: 1. The number under the radical, 6x+2 2. The result of the square root, x-1 If you think about it, both numbers must be >=0! 6x+2 >=0 because there is no (real) square root of a negative number. x+1 >=0 because it's a square root and that is >=0 by definition.
ZeHanz
  • ZeHanz
This means that you answers are restricted two ways: 1. 6x+2>=0, so 6x>=-2, x>=2/6, x>=1/3 2. x-1>=0, so x>=1 BOTH must hold, so we combine them: x>=1. Whatever "solutions" you may find, they MUST be >= 1. Now square everything in sight: (x-1)² = 6x+2 Work out the brackets Everything to the left side of the =-sign Factorize, or use abc-formula Check the solutions! Only if they are >= 1 they are really solutions. Reason for this nitpicking: by squaring everything, you lose the information about the square root and you could get fake solutions...
ZeHanz
  • ZeHanz
Oops, typo: 6x>=-2, so x>= -1/3 Makes no difference: x >=1 anyway.
ZeHanz
  • ZeHanz
@nubeer: I wouldn't *start* with squaring, see above reasoning...
anonymous
  • anonymous
Thanks @ZeHanz
ZeHanz
  • ZeHanz
yw! Have you got the answer?

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