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

Option C

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.