Use proof by contradiction to show that for all real values of xxx,
(x−6)2≥2x−46 (x - 6)^2 \geq 2x - 46 (x−6)2≥2x−46Show that the following statement is untrue:
"2n+2n−12^n + 2n - 12n+2n−1 is a prime number for all values of n∈Z+n \in \mathbb{Z}^{+}n∈Z+."
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.
