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

√7 + 5i

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

A.) The other solution to function f is -√7 + 5i .
B.) The other solution to function f is √7 - 5i .
C.) Function f has no other solutions.
D.) The other solution to function f is √7 - 5i.

Respuesta :

Luv2Teach
The other solution is the conjugate of the given one, which means the sign in between the 2 "numbers" is the opposite of the one given.  So our conjugate here is choice B.

Answer:

Step-by-step explanation:

Concept is that irrational and complex root of a polynomial always exist with it  conjugate pair.

It means if a+ib is a root then a-ib must also be a root of the polynomial .

Now since √7 + 5i is a root then other root must be √7 - 5i

So the correct option is

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

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