Ask Question
5 March, 16:24

Which of the following is a solution of x2 + 2x + 4?

-2 + two i times the square root of 3

2 + two i times the square root of 3

1 - i times the square root of 3

-1 + i times the square root of 3

+5
Answers (1)
  1. 5 March, 16:46
    0
    Strictly speaking, x^2 + 2x + 4 doesn't have solutions; if you want solutions, you must equate x^2 + 2x + 4 to zero:

    x^2 + 2x + 4 = 0. "Completing the square" seems to be the easiest way to go here:

    rewrite x^2 + 2x + 4 as x^2 + 2x + 1^2 - 1^2 = - 4, or

    (x+1) ^2 = - 3

    or x+1 = i * (plus or minus sqrt (3))

    or x = - 1 plus or minus i*sqrt (3)

    This problem, like any other quadratic equation, has two roots. Note that the fourth possible answer constitutes one part of the two part solution found above.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Which of the following is a solution of x2 + 2x + 4? -2 + two i times the square root of 3 2 + two i times the square root of 3 1 - i times ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers