03/09/2015

ADDITIONAL MATHEMTICSCHAPTER 2 : QUADRATIC EQUATIONS

1. The quadratic equation 2x , where p is a constant, has no real roots. Find the range of the values of p. [3 marks]

2. The quadratic equation m,where m 0, has real and different roots. Find the range of values of m. [4 marks]

3. Find the values of n for which the curve y = n + 8x x intersect the straight line y = 3 at a point. [4 marks]

4. Solve the quadratic equation 5(2x 1) = (3x + 1)(x 3) . Give your answer correct to four significant figures [3 marks]

5. The straight line y + x = 4 intersects the curve y = at two points . Find the range of values of w. [4 marks]

6. Form the quadratic equation which has the roots 7 and . Give your answer in the form , where a , b and c are constants. [2 marks]

7. Given the roots of the quadratic equation are equal. Express k in terms of h. [2 marks]

8. The straight line y = 9 4px is a tangent to the curve y = Find the possible values of p. [5 marks]

9. The straight line y =2x1 does not intersect the curve y = Find the range of values of p. [5 marks]

10. The quadratic equation has roots 4 and 3. Find the values of k and h. [3 marks]

11. Express x(3x 2) = x2 + 5 in the general form. [2 marks]

12. Form the quadratic equation which has roots 2 dan 3. [2 marks]

13. Form the quadratic equation which has roots 3 dan . Give your answer in the form , where a, b and c are constants. [2 marks]

14. Solve the quadratic equation 2x(3x 1) + 9x = 5. [3 marks]

15. Solve the quadratic equation h2 3h + 2 = 2(h 1). [3 marks]

16. Solve the quadratic equation 2x(x 4) = (1 x)(x + 2). Give your answer correct to four significant figures. [4 marks]

17. Solve the qudratic equation . Give your answer correct to 3 decimal places. [4 marks]

18. Given one of the roots of the quadratic equation x2 + kx +1 = 0 is four times the other root. Determine the values of k. [3 marks]

19.One of the roots of the quadratic equation 2x2 + 8x = 2k + 1 is three times the other root ,where k is a constant. Find the roots and the value of k. [4 marks]

20.

Given that m and n are the roots of the quadratic equation x2 + 3x 9 = 0, form a quadratic equation whose roots are and . [4 marks]

21. Find the range of values of p if the quadratic equation has two distinct roots. [3 marks]

22. The quadratic equation has no roots. Find the range of values of k . [3 marks]

23. The quadratic equation has two distinct roots. Find the range of values of p. [2 marks]

24. A quadratic equation has two equal roots. Find the possible values of p. [3 marks]

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