Question

HELP ASAP one solution to a quadratic function, f, is given below. (sqrt of 7) + 5i which of the following statements is true about the given function? a) the other solution to the function is - sqrt7 -5i b) the other solution to the function is sqrt7 -5i c) the other solution is -sqrt7 + 5i d) function f has no other solutions.

Answer 1

b

Explanation:

complex solutions occur in conjugate pairs, hence

`√(7)` + 5i , then
`√(7)` - 5i is also a solution

Answer 2

Option b). the other solution to the function is
`√(7)-5i`

Explanation:

In a given quadratic function f(x) = ax² + bx + c, if b² - 4ac < 0 then bothe the solutions of the function will have two complex roots.

Roots of this function will be the complex conjugates.

Since one root of the equation is given as
`√(7)+5i`

Then other solution will be its complex conjugate as
`√(7)-5i`

Therefore, Option B) will be the answer.