Question

If,x2 = .64, then value of xº + x3 is equal to​

Answer 1

Answer:

Explanation:

x

−

2

=

64

⇒

1

x

2

=

64

⇒

x

2

=

1

64

⇒

x

=

±

1

8

.

⇒

1

x

=

±

8

.

∴

1

x

3

+

x

0

=

(

1

x

)

3

+

1

=

(

±

8

)

3

+

1

=

±

512

+

1

.

∴

The Reqd. Value=

513

,

or

−

511

.

Answer link

Jumbotron

Jan 27, 2018

Please see another method in resolving below;

Explanation:

Given;

x

−

2

=

64

Using Indices

Recall:

x

−

1

=

1

x

x

−

2

=

64

1

x

2

=

64

1

x

2

=

64

1

Cross multiplying..

64

×

x

2

=

1

×

1

64

⋅

x

2

=

1

Divide both sides by

64

64

⋅

x

2

64

=

1

64

64

⋅

x

2

64

=

1

64

x

2

=

1

64

Squareroot both sides..

√

x

2

=

√

1

64

x

=

1

8

Hence;

1

x

3

+

x

0

1

(

1

8

)

3

+

(

1

8

)

0

Recall:

x

0

=

1

1

(

1

8

)

3

+

1

1

1

512

+

1

1

÷

1

512

+

1

1

×

512

1

+

1

×

×

x

512

1

→

Transposed

1

×

512

+

1

512

+

1

513

→

Answer

Hope this helps and its well understood!