Determine the points of intersection of the curve 2xy+x2−11=02xy + x^2 - 11 = 02xy+x2−11=0 and the line x+3y=4x + 3y = 4x+3y=4
Hence find the exact distance between the two points of intersection.
206 exam-style questions on Edexcel A Level Maths Equations and Inequalities, covering 3.1 Linear Simultaneous Equations, 3.2 Quadratic Simultaneous Equations, 3.3 Simultaneous Equations on Graphs, 3.4 Linear Inequalities, 3.5 Quadratic Inequalities, and 3.6 Inequalities on Graphs. Each one has a worked solution and a mark scheme showing where the marks go.