Show that if u is an odd integer then the equation x 2 x u 0 has no solution

Show that if u is an odd integer then the equation x

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2. Show that ifuis an odd integer, then the equationx2+x-u= 0 has no solutionthat is an integer. 3. Show that for any x that is an integer, if (x2-1) is not divisible by 3, then x isdivisible by 3.Hint:Any integer is either a multiple of 3, or a multiple of 3 plus 1, or a multipleof 3 plus 2; i.e. m = 3k, or m = 3k + 1, or m = 3k + 2, for some k) 2
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4. ifa2+b2=c2, thena+bc, wherea, b,&care all non-negative integers 3
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  • Fall '13
  • FatimaAbuSalem
  • Negative and non-negative numbers, Rational number, Irrational number, Parity, Evenness of zero

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