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,
Algebra.Com
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): You can put this solution on YOUR website!
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
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