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Snezhnost [94]
3 years ago
7

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

Mathematics
1 answer:
anygoal [31]3 years ago
4 0

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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