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The number of solutions of -1 4x + -1 6x = 6, where - 12 6 < x < 12 6, is equal to :
(4) 1
- 12 6 < x < 12 6
24x2 < 1, i.e. (4x)(6x) < 1
-1 4x + -1 6x = -1 10x1 - 24x2 = 6
10x1 - 24x2 = 1 3
24x2 + 10 3 x - 1 = 0
x = -10 3 300 + 9648 = -10 3 6 1148
x 0.054 or x -0.776
12 6 0.204, only x 0.054 lies in the interval (it is positive, so the LHS is positive as required).
Number of solutions = 1
Answer: (4)
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