brockettmichell brockettmichell
  • 13-11-2019
  • Mathematics
contestada

If a^2=b^2, does a=b? Explain and justify your answer.

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sqdancefan
sqdancefan sqdancefan
  • 13-11-2019

Answer:

  not necessarily

Step-by-step explanation:

Taking the square root of both sides, you have ...

  ±a = ±b

Those four cases resolve to two unique cases:

  a = ±b

The given equation will be true if a = b or if a = -b. If a and b are constrained to have the same sign, then a=b is the only solution.

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