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Algebraic Methods

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Question 109

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]

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank