Hits: 11

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#7

Hits: 11   Question The equation , where k is a constant, has different real roots. a.   Show that . b.   Find the set of possible values of k. Solution a.   We are given; We are given that given equation has different real roots. For a quadratic equation , the expression for solution is; Where  is […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#6

Hits: 35   Question a.   By eliminating y from the equations y= x–4, 2×2– xy = 8, show that x2+ 4x – 8 = 0. b.   Hence, or otherwise, solve the simultaneous equations y= x–4, 2×2– xy = 8, giving your answers in the form , where a and b are integers. Solution a.     We are […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | January | Q#10

Hits: 37   Question a.   On the same axes sketch the graphs of the curves with equations i.       y=x2(x –2), ii.     y=x(6 –x), and indicate on your sketches the coordinates of all the points where the curves  cross the x-axis. b.   Use algebra to find the coordinates of the points where the graphs intersect. Solution a.     […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | January | Q#5

Hits: 5   Question The equation , where k is a constant, has no real roots. Find the set of possible values of k. Solution We are given; We are 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 […]