For "O" level Add Maths students to try to solve the question
Question
Show that the equation x^2 + (2k - 1)x - 4(k - 2) = 0 has two real and distinct roots
for all values of k.
Thank you for your kind attention.
Regards,
ahm97sic
PS : Solution will be provided one week later.
For "O" level Add Maths students to practise
Question 1
Find the range of values of x that satisfy the inequality
(a) 4x^2 - 12x + 10 >= 0
(b) 2x^2 - 7x + 4 < 0
Question 2
Find the range of values of x for which x^2 - 5x + 1 lies between - 5 and 15 (inclusive)
Find the range of values of k for which x^2 - 8kx + 2x + 15k^2 - 2k - 7 is never negative for all real values of x.
Question 3
Find the range of values of x for the inequality [(2x^2 - 3x -2) / (x^2 + 2x + 6)] < 0
Question 4
Without using a calculator, find the range of values of x for the inequality [(2x^2 - 3x -2) / (x^2 + 2x + 6)] < 0
Note : x refers to absolute value of x
Thank you for your kind attention.
Regards,
ahm97sic