# Exercise 14.1

QUESTION 1

Sol :

Hence , the roots of the equation are i and -i

QUESTION 2

Sol :

Hence, the roots of the equation are

QUESTION 3

Sol :

Hence, the roots of the equation are

QUESTION 4

Sol :

Hence , the roots of the equation are

QUESTION 5

Sol :

Hence , the roots of the equation are

QUESTION 6

Sol :

Hence, the roots of the equation are

QUESTION 7

Sol :

Hence, the roots of the equation are

QUESTION 8

Sol :

Hence , the roots of the equation are

QUESTION 9

Sol :

Comparing the given equation with general form of the quadratic equation , we get

Substituting these values in and we get

and

and

and

and

and

and

Hence , the roots of the equation are

QUESTION 10

Sol :

Comparing the given equation with general form of the quadratic equation , we get

Substituting these values in and we get

and

and

and

and

Hence , the roots of the equation are

QUESTION 11

Sol :

or

or

Hence , the roots of the equation are

QUESTION 12

Sol :

We have :

or

or

Hence , the roots of the equation are

QUESTION 13

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Substituting these values in and we get

and

and

and

and

and

and

and

Hence, the roots of the equation are

QUESTION 14

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Substituting these values in and

and

and

and

and

and

and

and

and

QUESTION 15

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 16

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 17

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 18

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 19

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 20

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 21

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 22

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 23

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 24

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 25

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 26

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are

QUESTION 27

Sol :

Comparing the given equation with the general form of the quadratic equation , we get

Hence, the roots of the equation are