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AS/A Level Mathematics Completing the Square - Maths …
www.mathsgenie.co.uk1 Show that x2 – 6x + 11 > 0 for all real values of x. (Total for question 1 is 3 marks) 2 Prove that, for all values of x, x2 + 4x + 12 > x + 3 (Total for question 2 is 4 marks) 3 (a) By completing the square, find in terms of the constant p the roots of the equation x2 + px + 4 = 0 (b) Hence find the set of values of p for which the equation has no real roots.