book Maths Puzzle Numerical Ability

how do you determine were the variable goeson a fraction

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book Other Question

1 + 3a/2b = algebraically find exact values for all of the roots of the function (i.e. solve f(x)=0 for all values of x (in radians)). Give exact answers only.
f{x}=3cos^2{4x}+sin^2{4x}-cos{4x)-1

final answer: X is element________