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NCERT Class 10 Mathematics Solutions: Chapter 4- Quadratic Equations Exercise 4.4 Part 1

Illustration: NCERT Class 10 Mathematics Solutions: Chapter 4- Quadratic Equations Exercise 4.4 Part 1

1. Find the nature of the roots of the following quadratic equations. If the real roots exist, find them;

(i)

(ii)

(iii)

Answer:

(i)

Comparing it with

Discriminant

As

No real root is possible for the given equation.

(ii)

Comparing it with

Discriminate

As

Real roots exist for the given equation and they are equal to each other

And root will be

So, the roots are

(iii)

Comparing this equation with

Discriminant

As

So real roots exist for this equation

So, the roots are