One solution to a quadratic function, f, is given below.

√7 + 5i

Which of the following statements is true about the given function?

1) The other solution to function f is - √7 + 5i.

2) The other solution to function f is √7 - 5i.

3) Function f has no other solutions.

4) The other solution to function f is - √7 - 5i.

Question

Ariella Novak

Mathematics

28 May, 07:52

One solution to a quadratic function, f, is given below.

√7 + 5i

Which of the following statements is true about the given function?

1) The other solution to function f is - √7 + 5i.

2) The other solution to function f is √7 - 5i.

3) Function f has no other solutions.

4) The other solution to function f is - √7 - 5i.

+1

Answers (1)

Know the Answer?

Wayne Doyle · Answer 1

The correct option is (2)

For any quadratic equation: ax2 + bx + c = 0.

The complex roots are expressed in the form a ± bi.

where a is the real part

& b is the imaginary part.

Since, one root is √7 + 5i, therefore the other root will be of the form √7 - 5i.

Hence, option (2) is correct.