EXERCISE 3.5
1. Solve the following equations
(i) sin2x - 5sin x + 4 = 0
(ii) 12x3 + 8x = 29x2 – 4
2. Examine for the rational roots of
(i) 2x3 - x2 -1 = 0
(ii) x8 - 3x +1 = 0 .
3. Solve : 8x 3/2n −8x-3/2n = 63
4. Solve :
5. Solve the equations
(i) 6x4 - 35x3 + 62x2 - 35x + 6 = 0
(ii) x4 + 3x3 - 3x -1 = 0
6. Find all real numbers satisfying 4x - 3(2x+2 ) + 25 = 0 .
7. Solve the equation 6x4 - 5x3 - 38x2 - 5x + 6 = 0 if it is known that 1/3 is a solution.
Answers:
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