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0580 P41 - Nov 2011 - Q2 - 14 marks
16435

(a) Find the integer values satisfying \(-3<2x-1\le6\). [3]

(b) Simplify \((x^2+3x-10)/(x^2-25)\). [4]

(c)(i) Show that \(5/(x-3)+2/(x+1)=3\) simplifies to \(3x^2-13x-8=0\). [3]

(c)(ii) Solve this quadratic, showing full working and giving answers to 2 decimal places. [4]

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