By completing the square, show that the roots of the equation
x2+kx−6=0 x^2 + kx - 6 = 0 x2+kx−6=0are
x=−k2±k24+6 x = -\frac{k}{2} \pm \sqrt{\frac{k^2}{4} + 6} x=−2k±4k2+6Hence find the exact roots of the equation x2+4x−6=0x^2 + 4x - 6 = 0x2+4x−6=0
211 exam-style questions on Edexcel A Level Maths Quadratics, 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. Each one has a worked solution and a mark scheme showing where the marks go.