Hits: 158
Hits: 158 Question Given that ,, a) Express in the form , where a and b are integers. The curve C with equation y = f(x), , meets the y-axis at P and has a minimum point at Q. b) In the space provided on page 19, sketch the graph of C, showing the coordinates of P and […]
Hits: 22 Question Given that the equation , where k is a positive constant, has equal roots, find the value of k. Solution We are given; We can given that given equation has equal roots. For a quadratic equation , the expression for solution is; Where is called discriminant. If , the equation will have two distinct […]
Hits: 23 Question Find the set of values of x for which a) b) c) Both and . Solution a) We are required to solve the inequality; We can rearrange the inequality as; b) We are required to solve the inequality; We solve the following equation to find critical values of ; Now we have two options; […]
Hits: 16 Question Solve the simultaneous equations Solution We are given simultaneous equations; Rearranging the first equation we get expression for ; Substituting this for in the second equation; We have the algebraic formula; Therefore; For a quadratic equation , the expression for solution is; For the above equation; Now we have two options. By substituting one-by-one these values of […]
Hits: 38 Question where a and b are constants. a. Find the value of a and the value of b. b. Hence, or otherwise, show that the roots of are , where c and d are integers to be found. Solution a. We are given; We can write L.H.S of the equation by completing square. […]