OCR C1 2006 January — Question 7

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2006
SessionJanuary
TopicQuadratic Functions

7
  1. Solve the equation \(x ^ { 2 } - 8 x + 11 = 0\), giving your answers in simplified surd form.
  2. Hence sketch the curve \(y = x ^ { 2 } - 8 x + 11\), labelling the points where the curve crosses the axes.
  3. Solve the equation \(y - 8 y ^ { \frac { 1 } { 2 } } + 11 = 0\), giving your answers in the form \(p \pm q \sqrt { 5 }\).