**Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.3 Q2 Download this solution**

**How to find roots of Quadratic Equation using Quadratic Formula?**

#### 2. Find the roots of the following Quadratic Equations by applying quadratic formula.

#### (i)

#### (ii)

#### (iii)

#### (iv)

#### Solution (i)

#### Comparing quadratic equation with general form , we get

a=2, b=-7 and c=3.

#### Putting these values in quadratic formula , we get

#### Solution (ii)

#### Comparing quadratic equation with the general form , we get

#### and .

#### Putting these values in quadratic formula , we get

#### Solution (iii)

#### Comparing quadratic equation with the general form , we get

#### and .

#### Putting these values in quadratic formula , we get

#### A quadratic equation has two roots. Here, both the roots are equal. Therefore,

#### Solution (iv)

#### Comparing quadratic equation with the general form , we get

and .

#### Putting these values in quadratic formula , we get

#### But, square root of negative number is not defined. Therefore, Quadratic Equation has **no solution**.