OCR FP2 2009 June — Question 2

Exam BoardOCR
ModuleFP2 (Further Pure Mathematics 2)
Year2009
SessionJune
TopicInequalities
2 Given that \(y = \frac { x ^ { 2 } + x + 1 } { ( x - 1 ) ^ { 2 } }\), prove that \(y \geqslant \frac { 1 } { 4 }\) for all \(x \neq 1\).
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