MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Algebraic Identities

If x 4+1 x 4=...

Question

If $x^{4} + \frac{1}{x^{4}} = 194,$ then $x^{3} + \frac{1}{x^{3}} =$

(a) 76

(b) 52

(c) 64

(d) none of these

Open in App

Solution

Given

Using identity

Here,

Again using identity

Here

Substituting

Using identity

Here

Hence the value of is

The correct choice is (b).

Suggest Corrections

thumbs-up

8

Similar questions

x^{4} + \frac{1}{x^{4}} = 194,

x^{3} + \frac{1}{x^{3}}, x^{2} + \frac{1}{x^{2}}

x + \frac{1}{x}

x^{4} + \frac{1}{x^{4}} = 194

, find the value of

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

.

If $x + \frac{1}{x} = 3$ , calculate $x^{2} + \frac{1}{x^{2}}, x^{3} + \frac{1}{x^{3}}$ and $x^{4} + \frac{1}{x^{4}}$

x^{4} + \frac{1}{x^{4}} = 119

, find the value of

x^{3} - \frac{1}{x^{3}}

x_{1}, x_{2}, x_{3}, x_{4}

are roots of the equation

x^{4} - x^{3} s i n 2 β + x^{2} c o s 2 β - x c o s β - s i n β = 0

t a n^{- 1} x_{1} + t a n^{- 1} x_{2} + t a n^{- 1} x_{3} + t a n^{- 1} x_{4} =

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 VIII Mathematics

Join BYJU'S Learning Program

CrossIcon