book Maths Puzzle Numerical Ability

I do not understand how to do this. I have gone over it several times and cannot figure out the process. I need to decide all values of b that will give one or more real number s

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book Other Question

Determine the maximum number of zeros of the polynomial function:
f(x) = 3x2 - 2x - 2x3 - 3
What is the fraction? So, that it is equivalent to the fraction with the indicated denominator.

5/7 = ?/21