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1.1 Proof by Contradiction

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Question 46

Assume that xxx and yyy are integers such that

x2−8y−6=0 x^2 - 8y - 6 = 0 x2−8y−6=0
a.

Prove that xxx is even.

[2]
b.

Hence, prove that 4y+34y + 34y+3 is even and explain why this leads to a contradiction.

[3]
c.

Explain what can be deduced about the integer solutions to the equation x2−8y−6=0x^2 - 8y - 6 = 0x2−8y−6=0.

[1]
Markscheme

1.1 Proof by Contradiction Questions

  1. A Level
  2. /Maths
  3. /1.1 Proof by Contradiction

107 exam-style questions on Edexcel A Level Maths 1.1 Proof by Contradiction. Each one has a worked solution and a mark scheme showing where the marks go.

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