Find the values of a, b, and c for which the quadratic equation ax^2 + bx + c = 0 has the solutions 8i and - 8i.

Question

Mathematics

Davon Perkins

4 August, 21:33

Find the values of a, b, and c for which the quadratic equation ax^2 + bx + c = 0 has the solutions 8i and - 8i.

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Answers (1)

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Caylee Novak · Answer 1

Work backward: Multiply out (x-8i) and (x+8i).

The product is x^2 - [64i^2], or x^2 - [-64], or x^2 + 64

This is equivalent to 1x^2 + 0x + 64, and so a=1, b=0 and c=64.