x2−8x−29≡(x+a)2+bx^2 - 8x - 29 \equiv (x + a)^2 + bx2−8x−29≡(x+a)2+b, where a a\,a and b b\,b are constants.
Find the value of a a\,a and the value of bbb.
Hence, or otherwise, show that the roots of
x2−8x−29=0 x^2 - 8x - 29 = 0 x2−8x−29=0are c±d5c \pm d\sqrt{5}c±d5, where c c\,c and d d\,d are integers to be found.
Practise Edexcel A Level Old Maths Algebra and Functions 1 with exam-style questions for A Level Old Maths. 19 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) 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.