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earnstyle [38]
3 years ago
14

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

Mathematics
1 answer:
kifflom [539]3 years ago
4 0

Answer:

−1 + i times the square root of 3

is the answer.

Step-by-step explanation:

Given is a quadratic equation in x

x^2+2x+4\\= x^2+2x+1+3\\=(x+1)^2+3

using completion of squares method

Equate to 0

(x+1)^2+3 =0\\(x+1)^2 = -3\\

Take square root

(x+1) = \sqrt{-3} =±i\sqrt{3}

Subtract one from both sides

x = [/tex]-1±i\sqrt{3}[/tex]

The last option namely

−1 + i times the square root of 3 only matches with our answre

Hence last option is right.

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