book Maths Puzzle Numerical Ability

I am having difficulty completing my last 8 exams in Algebra II - can someone please help me! Thank you so much.

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book Other Question

Please help with this.

Decide all values of b that will give one or more real number solutions.

5x^2 + bx + 1 = 0

Thank You!
I would really appreciate it if someone could solve and explain this problem for me-
reduce to a radical having integral radicands.
radical sign then 1/2

- Thanks so much!