Should you assume it?

Algebra Level 2

True or False?

If a a and b b are real numbers satisfying a + b = 4 a+b=4 , then the minimum value of ( a − 1 ) ( b − 1 ) (a-1)(b-1) occurs when a = b a=b .

False True

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

There is no minimum. As either a or b becomes smaller(approaching -infinity) the expression becomes smaller.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

@Pi Han Goh I think you want to consider [ ( a − 1 ) ( b − 1 ) ] 2 [(a-1)(b-1)]^2 instead?

Calvin Lin Staff - 4 years, 6 months ago

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Nope nope. I really just wanted (a-1)(b-1).

Pi Han Goh - 4 years, 6 months ago

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