SOLUTION: Can you please assist with the following True/False question?
If "a" and "b" are elements of Real Numbers, both are not equal to 0 and a^2 = b^2, then a = b.
Kind regards,
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-> SOLUTION: Can you please assist with the following True/False question?
If "a" and "b" are elements of Real Numbers, both are not equal to 0 and a^2 = b^2, then a = b.
Kind regards,
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Question 598189: Can you please assist with the following True/False question?
If "a" and "b" are elements of Real Numbers, both are not equal to 0 and a^2 = b^2, then a = b.
Kind regards, Answer by solver91311(24713) (Show Source):
Assume that the answer is False. That is, assume that if , then .
Square both sides of the inequality:
But this contradicts the original assumption. Therefore, reductio ad absurdum, the original assumption is false. That is to say the statement "if , then " is a false statment and perforce "if , then " must be a true statement.
John
My calculator said it, I believe it, that settles it
