MyQuestionIcon

1

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

Concept of Inequality

If x=7+43 and...

Question

If $x = 7 + 4 \sqrt{3}$ and xy =1, then $\frac{1}{x^{2}} + \frac{1}{y^{2}} =$

(a) 64

(b) 134

(c) 194

(d) 1/49

Open in App

Solution

Given that,

Hence is given as

We need to find

We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Since so we have

Therefore,

Hence the value of the given expression is.

Suggest Corrections

thumbs-up

5

Similar questions

If $x = 7 + 4 \sqrt{3}$ and xy = 1, then $\frac{1}{x^{2}} + \frac{1}{y^{2}} =$

x = (7 + 4 \sqrt{3}), then (x + \frac{1}{x})

8 \sqrt{3}

(b) 14
(c) 49
(d) 48

If $x + \frac{1}{x} = 4, t h e n x^{4} + \frac{1}{x^{4}} =$

$I f 3 x - 7 y = 10 a n d x y = - 1, f i n d t h e v a l u e o f 9 x^{2} + 49 y^{2}$

x + \frac{1}{x} = 2

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

(a) 64

(b) 14

(c) 8

(d) 2

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Concept of Inequality

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Concept of Inequality

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon