Question

The roots of the equation x² + 2x + 4 = 0 are
A) rational and equal
B) rational and unequal
C) imaginary and unequal
D) real, rational, and unequal

Answer 1

The answer should be C because if you solve you get an i

Answer 2

Answer:

Option C

Step-by-step explanation:

Given :-

• A equation x² + 2x + 4 = 0 .

And we need to find out the nature of the roots . The nature of the roots is determined by the Discriminant of the equation , and the Discriminant of a quadratic equation is ,

$:\implies$ Discriminant = b² - 4ac

$:\implies$ Discriminant = 2² - 4(1)(4)

$:\implies$ Discriminant = 4 -16

$:\implies$ Discriminant = (-12)

Now here the value of D is less than 0 .So the roots will be imaginary .

Hence the roots are imaginary and unequal.