Math, asked by jazzy17001, 1 year ago

If 3x + 4y = 7 and xy = 2, then find the value of 9x2 + 16y2

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Answers

Answered by roszysharma
0

Answer:

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Answered by Dɪʏᴀ4Rᴀᴋʜɪ
8

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GIVEN-:

3x+4y=7

xy=2

FIND-:

9x^2+16y^2=?

SOLUTION-:

Using-:(a+b)^2=a^2+b^2+2ab

(3x+4y)^2=(7)^2

NOW,

(3x+4y)^2=(3x)^2+(4y)^2+2(3x×4y)

By putting values

(7)^2=(3x)^2+(4y)^2+2(12xy)

49=9x^2+16y^2+24xy

49=9x^2+16y^2+24×2

49=9x^2+16y^2+48

49-48=9x^2+16y^2

1=9x^2+16y^2

ANSWER

1=9x^2+16y^2

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