(1) Solve the following equations
(i) sin2 x − 5sin x + 4 = 0 Solution
(ii) 12x3 + 8x = 29x2 − 4 Solution
(2) Examine for the rational roots of
(i) 2x3 − x2 − 1 = 0 Solution
(ii) x8 − 3x + 1 = 0 Solution
(3) Solve 8 x3/2n - 8 x-3/2n = 63 Solution
(4) Solve
Solution
(5) Solve the equations
(i) 6x4 − 35x3 + 62x2 − 35x + 6 = 0 Solution
(ii) x4 + 3x3 - 3x - 1 Solution
(6) Find all real numbers satisfying 4x − 3(2x+2 ) + 25 = 0.
Solution
(7) Solve the equation 6x4 − 5x3 − 38x2 − 5x + 6 = 0 if it is known that 1/3 is a solution. Solution
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