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