CameraIcon

SearchIcon

MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Algebraic Identities

If x=3+√8, ...

Question

If $x = 3 + \sqrt{8}$ , then $x^{4} + \frac{1}{x^{4}}$ is

A

1056

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

1158

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

1156

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

1154

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C $1154$
$x = 3 + \sqrt{8}$
$\frac{1}{x} = 3 - \sqrt{8}$
$x + \frac{1}{x} = 6$
$x^{2} + \frac{1}{x^{2}} = 34$
$x^{4} + \frac{1}{x^{4}} = 1154$

Suggest Corrections

thumbs-up

1

Similar questions

x = 3 + \sqrt{8}

, then find the value of

x^{4} + \frac{1}{x^{4}}

x - \frac{1}{x} = 8

, then find the value of

x^{4} + \frac{1}{x^{4}}

x + \frac{1}{x} = 3

x^{4} + \frac{1}{x^{4}}

=

x = 3 + \sqrt{8}

find the value of

x^{4} + \frac{1}{x^{4}}

If such that f(2) = 0, then f(x) is

(A) (B)

(C) (D)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Algebraic Identities

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Algebraic Identities

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon