f(x)=x5+2x2+2x−8f(x) = x^5 + 2x^2 + 2x - 8f(x)=x5+2x2+2x−8
The root of f(x)=0f(x) = 0f(x)=0 lies in the interval [1,1.4][1, 1.4][1,1.4]. Use the Newton-Raphson method, starting with x0=1.3x_0 = 1.3x0=1.3, to find the root of f(x)=0f(x) = 0f(x)=0 to 3 decimal places.
329 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.