Question

Select the correct answer.

A solution to a quadratic function, f, is given below.
-3-51
Which statement is true about the given function?
O
The other solution to function fis 3 - 5i.
The other solution to function fis 3 + 5i.
Function f has no other solutions.
The other solution to function fis-3 + 5i.

Answer 1

(d) The other solution to function f is -3 + 5i

Explanation:

Given a solution to quadratic function f is -3-5i, you want to know the other solution.

Conjugate

The complex solutions to quadratic equations come in conjugate pairs. That is, if one solution is -3-5i, the other solution will be the same thing with the sign of the imaginary part reversed:

The other solution is -3+5i.

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Additional comment

This is true only if the quadratic has real coefficients. (We typically don't study any other kind.)

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