Question

Which of the following is a solution of x2 + 4x + 10? (1 point)

2 + i times the square root of 6

−2 + i times the square root of 24

−2 + i times the square root of 6

2 + i times the square root of 24

Answer 1

9514 1404 393

Answer:

(c) −2 + i times the square root of 6

Explanation:

The quadratic can be rewritten as ...

(x+2)² = -6

Taking square roots gives ...

x +2 = ±i√6

Subtract 2 to give the values of x that are solutions.

x = -2±i√6 . . . . . one of the roots is -2+i√6