0580 P42 - Mar 2017 - Q5 - 11 marks
14358
(a(i)) Factorise \(3x^2+11x-4\). [2]
(a(ii)) Solve \(3x^2+11x-4=0\). [1]
(b(i)) Show that \(\frac2{2x+11}-\frac1{x-4}=\frac12\) simplifies to \(2x^2+3x-6=0\). [4]
(b(ii)) Solve this quadratic, showing working. Give both roots to 2 decimal places. [4]