book Maths Puzzle Numerical Ability

Use the discriminant to find what type of solutions (two rational, two irrational, one rational, or two nonreal complex) Do not solve the equation. Show work and list the values

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book Other Question

6y squared + 12y +13 = 2y squared + 4 I need some clarification on the zero-factor theorem.

I am to solve using the zero-factor theorem the following equation:

1. g^2-3g-18=0 I tried setiing up as g^2-3=0 and -18=0 this did not make sense to me.

and 2. 16d^2=4