Equations

Question : 2 of 39

Marks: +1, -0

b^{2}-4ac < 0

then the roots are __________ .

Solution:

Concept:

For a quadratic equation

ax^2 + bx + c = 0

, the nature of roots depends on the discriminant

D = b^2 - 4ac

Explanation:

D < 0

, then

\sqrt{D}

is not a real number.

Thus the roots given by

\frac{-b \pm \sqrt{D}}{2a}

are complex (imaginary) and distinct.

Hence they are imaginary and unequal.

Answer:

Imaginary and unequal.

Go to Question:

Prev Question

Next Question