Prove that the value of the expression (a-1)(a-3)(a-4)(a-6)+10 is positive for every a ∈ R.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 26E
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Prove that the value of the expression (a-1)(a-3)(a-4)(a-6)+10 is positive for every a ∈ R. 

 

find all natural numbers n that satisfy two of the given statements: 1) number n is a perfect square. 2) the units digit of the number n is 3 . 3) number n+15 is a perfect square.

Find all natural numbers n that satisfy two of the given statements:
1) Number n is a perfect square.
2) The units digit of the numbern is 3.
3) Number n + 15 is a perfect square.
Transcribed Image Text:Find all natural numbers n that satisfy two of the given statements: 1) Number n is a perfect square. 2) The units digit of the numbern is 3. 3) Number n + 15 is a perfect square.
Prove that the value of the expression (a – 1)(a – 3)(a – 4)(a – 6) + 10 is positive for every a E R.
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Transcribed Image Text:Prove that the value of the expression (a – 1)(a – 3)(a – 4)(a – 6) + 10 is positive for every a E R. -
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