Math, asked by ayaan0007, 8 months ago

the number of real zeroes of x4-1=0​

Answers

Answered by AKStark
1

Answer:

IT CAN HAVE MAXIMUM OF 4 ZEROES AS DEGREE OF THIS POLYNOMIAL IS 4.

Answered by msskumarperoor
0

Step-by-step explanation:

Real roots of the equation are

1

and

1

and complex roots are

i

and

i

.

Explanation:

As

x

4

=

1

,

(

x

4

1

)

=

0

Using

a

2

b

2

=

(

a

+

b

)

(

a

b

)

above is equal to

(

x

2

+

1

)

(

x

2

1

)

=

0

or

(

x

2

i

2

)

(

x

2

1

)

, (as

i

2

=

1

)

or

(

x

+

i

)

(

x

i

)

(

x

+

1

)

(

x

1

)

=

0

Hence real roots of the equation are

1

and

1

and complex roots are

i

and

i

.

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