1.1 Proof

Assume that $x$ and $y$ are integers such that

x^2 - 8y - 6 = 0

a.

Prove that $x$ is even.

[2]

b.

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

[3]

c.

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

[1]

Assume that $x$ and $y$ are integers such that

x^2 - 8y - 6 = 0

a.

Prove that $x$ is even.

[2]

b.

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

[3]

c.

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

[1]

1.1 Proof Questions