Which of the following is a solution of x2 + 2x + 8? (1 point)
1 answer:
<u>Answer</u>
−1 + i times the square root of 7
<u>Explanation</u>
x² + 2x + 8
I will use the complete square method to find the value of x.
x² + 2x + 8
x² + 2x = -8
x² + 2x + (2/2)² = -8 + (2/2)²
x² + 2x + 1 = -7
(x + 1)² = -7
x + 1 = √(-7)
x = √(-7) - 1
= i√7 - 1
= -1 + i√7
<em>−1 + i times the square root of 7
</em>
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