Express 4x2−8x+54x^2 - 8x + 54x2−8x+5 in the form a(x+b)2+ca(x + b)^2 + ca(x+b)2+c
State the number of real roots of the equation 4x2−8x+54x^2 - 8x + 54x2−8x+5
Explain fully how the value of r r\,r is related to the number of real roots of the equation p(x+q)2+r=0p(x + q)^2 + r = 0p(x+q)2+r=0 where ppp, q q\,q and r r\,r are real constants and p>0p > 0p>0
Practise Edexcel A Level Maths Quadratics with exam-style questions for A Level Maths. 25 questions covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics, 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.
