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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
Answer only one of the following two alternatives. EITHER A function \(f\) is such that \(f (x)=\ln (5 x-10),\) for \(x>2\) (i) State the range of \(f\). (ii) Find \(f ^{-1}(x)\). (iii) State the range of \(f ^{-1}\). (iv) Solve \(f(x)=0\). A function \(g\) is such that \(g (x)=2 x-\ln 2,\) for \(x \in R\). … Read more
Magnesium carbonate reacts with hydrochloric acid to form calcium chloride, carbon dioxide and water. Complete the symbol equation for this reaction.MgCO₃ + HCl → MgCl₂ + __ + H₂O MgCO₃ + 2HCl → MgCl₂ + CO2 + H₂O b. Magnesium reacts with steam. Mg(s) + H2O(g) MgO(s) + H2(g) Write a word equation for … Read more
Perbendaharaan Kata SKad Imbas Martabat 尊严 Kesaksamaan 合理的; 公正的 ekamus Getir 困苦；苦涩的滋味 Kelibat 参与 Definisi Kuantiti Asas Click edit button to change this text. Lorem ipsum dolor sit amet consectetur adipiscing elit dolor Definisi Kuantiti Asas Click edit button to change this text. Lorem ipsum dolor sit amet consectetur adipiscing elit dolor Definisi Kuantiti Asas … Read more
The diagrams show particles in a container. Which two diagrams show the process of evaporation? 1 → 2 1 → 3 2 → 3 3 → 1 Which piece of apparatus is used to measure exactly 26.3 cm3 of a liquid? W X Y melting point / °C –114 115 –101 boiling point / … Read more