SOLUTION: For any integer x, prove that x² ≥ 0
Algebra
->
Divisibility and Prime Numbers
->
Lessons
-> SOLUTION: For any integer x, prove that x² ≥ 0
Log On
Algebra: Divisibility and Prime Numbers
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Divisibility and Prime Numbers
Question 1193909
:
For any integer x, prove that x² ≥ 0
Answer by
math_tutor2020(3816)
(
Show Source
):
You can
put this solution on YOUR website!
If x = 0, then x^2 = x*x = 0*0 = 0. This satisfies the "or equal to" part of
If x < 0, then we have (negative)*(negative) = positive
If x > 0, then (positive)*(positive) = positive
If x is nonzero, then x^2 is positive.
Therefore, if x is any integer, then
aka x^2 is nonnegative.