Given the following quadratic equation: f(x) = x^2-3x-1 For x, 1\leq{x}\leq{100}, x

Libby Boone

Libby Boone

Answered question

2022-04-25

Given the following quadratic equation:
f(x)=x23x1
For x,1{x}{100},x1mod2
Is this true for all x{Z}? If so, is there a way to prove it?

Answer & Explanation

eldgamliru9x

eldgamliru9x

Beginner2022-04-26Added 16 answers

Step 1
If x=2k+1, then
x23k1
=(2k+1)23(2k+1)1
=2k(2k1)31±mod2,
so the result is always odd.

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