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2011 Oct Nov Paper 23 Q4 Without using a calculator, find the positive root of the equation[(5-2 sqrt{2}) x^{2}-(4+2 sqrt{2}) x-2=0,]giving your answer in the form (a+b sqrt{2}), where (a) and (b) are integers. More Similar Questions 2014 May June Paper 23 Q5(ii) Do not use a calculator in this question.(ii) Solve the equation ((2 … Read more

2011 May June Paper 21 Q1 Without using a calculator, express (frac{(5+2 sqrt{3})^{2}}{2+sqrt{3}}) in the form (p+q sqrt{3}), where (p) and (q) are integers. 2014 May june Paper 21 Q2 Without using a calculator, express (6(1+sqrt{3})^{-2}) in the form (a+b sqrt{3}), where (a) and (b) are integers to be found. More Similar Questions 2012 Oct … Read more

Question 1 (i) Given that (A =left(begin{array}{rr}4 & -3 \ 2 & 5end{array}right),) find the inverse matrix (A ^{-1}).(ii) Use your answer to part (i) to solve the simultaneous equations[begin{array}{l}4 x-3 y=-10 \2 x+5 y=21end{array}] Question 2 A cuboid has a square base of side ((2+sqrt{3}) cm) and a volume of ((16+9 sqrt{3}) cm ^{3}). … Read more

Download pdf The equation of a curve is $\quad y=2 x^{2}-20 x+37$. Express $y$ in the form $a(x+b)^{2}+c,$ where $a, b$ and $c$ are integers. Write down the coordinates of the stationary point on the curve. A function $f$ is defined by $f : x \mapsto 2 x^{2}-20 x+37$ for $x>k$. Given that the function … Read more