Question

What are the roots of the quadratic equation x² + 4x + 7 = 0?

A) 2 + i√3 or 2 - i√3



B) x = -2 + i√3 or -2 - i√3


C) x = -7 or 1


D) non of above

Answer 1

The roots of the quadratic equation x² + 4x + 7 = 0 can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 1, b = 4, and c = 7. Substituting these values into the formula, we get:

x = (-4 ± √(4² - 4(1)(7))) / 2(1)

x = (-4 ± √(16 - 28)) / 2

x = (-4 ± √(-12)) / 2

x = (-4 ± 2i√3) / 2

x = -2 ± i√3

Therefore, the roots of the equation x² + 4x + 7 = 0 are: A) 2 + i√3 or 2 - i√3.

So, the correct answer is A