By eliminating y y\,y from the equations
y=x−4, y = x - 4, y=x−4, 2x2−xy=8, 2x^2 - xy = 8, 2x2−xy=8,show that
x2+4x−8=0. x^2 + 4x - 8 = 0. x2+4x−8=0.Hence, or otherwise, solve the simultaneous equations
y=x−4, y = x - 4, y=x−4, 2x2−xy=8, 2x^2 - xy = 8, 2x2−xy=8,giving your answers in the form a±b3a \pm b\sqrt{3}a±b3, where a a\,a and b b\,b are integers.
18 exam-style questions on Edexcel A Level Old Maths Algebra and Functions 1. Each one has a worked solution and a mark scheme showing where the marks go.