(2) (c) Solve gf(x) = g(7) 4x2 + 20x (7)2 25 P1 = – 4x2 + 20x 49 25 = – 4x2 + 20x = 24 4x2 + 20x 24 = 0 M1 – Divide all through by 4, factorise and solve + 5x 6 = 0 M1 x2 – (x + 6)( 1) = 0 x – 6 or 1 A1 x = x = – (4) (Total 7 marks) Question 22. and are points on the circumference of a circle centre P, Q R O. Prove that angle is twice the size of angle stating your reasons. QOR QPR
(2) (c) Solve gf(x) = g(7) 4x2 + 20x = (7)2 – 25 P1 4x2 + 20x = 49 – 25 4x2 + 20x = 24 4x2 + 20x – 24 = 0 M1 Divide all through by 4, factorise and solve x2 + 5x – 6 = 0 M1 (x + 6)( x – 1) = 0 x = – 6 or x = 1 A1 (4) (Total 7 marks) Question 22. P, Q and R are points on the circumference of a circle centre O. Prove that angle QOR is twice the size of angle QPR stating your reasons.
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