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 AS Level Maths Quadratics with exam-style questions for AS 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 AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 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.