CameraIcon

SearchIcon

MyQuestionIcon

74

You visited us 74 times! Enjoying our articles? Unlock Full Access!

Finding Squares of Numbers

If 3 x-7 y=10...

Question

If 3x − 7y = 10 and xy = -1, find the value of 9x² + 49y²

Open in App

Solution

In the given problem, we have to find

We have been given and

Let us take

On squaring both sides we get,

We shall use the identity

By substituting we get,

Hence the value of is.

Suggest Corrections

thumbs-up

2

Similar questions

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

3 x - 7 y = 10

x y = - 1

9 x^{2} + 49 y^{2}

Q. Calculate the value of

9 x^{2} - 42 x y + 49 y^{2}

3 x - 7 y = 8

.

Q. If 3x + 2y = 12 and xy = 6, find the value of

9 x^{2} + 4 y^{2}

3 x - 2 y = 5

x y = 4

then find the value of

9 x^{2} + 4 y^{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Algebraic Identities

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Finding Squares of Numbers

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon