Exercise 2:3 Questions 3-5
3. Determine for which of the following equations there are (i) Two unequal 'real' roots, (ii) Equal roots or (iii) No 'real' roots.
(a) 3x2 + 3x - 4 = 0 (b) 6x2 +3x +4 = 0 (c) 2x2 - 3x - 1 = 0 (d) 2.5x2 + 4x +1 = 0 (e) 3.5x2 + 7.5x + 4 = 0 (f) 4a2x2 + 4abx + b2 = 0
4. Find the value of a if the equation (2a-1)x2 -2ax + 1 = 0 has equal roots. Solve the equation for that single value of x.
5. Show that if there are no real roots of the quadratic equation (2b +1)x2 -3bx + b = 0 then b2-4b is negative.
Can anyone please help me answer these questions????????