## Compute the value of 9x^2 + 4y^2 if xy = 6 and 3x + 2y = 12.

Question

Compute the value of 9x^2 + 4y^2 if xy = 6 and 3x + 2y = 12.

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Mathematics
2 weeks
2021-07-22T01:16:11+00:00
2021-07-22T01:16:11+00:00 2 Answers
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## Answers ( )

Answer:Consider the equation 3x + 2y = 12

Now, square both sides:

(3x + 2y)^2 = 122

=> 9x^2 + 12xy + 4y^2 = 144

=>9x^2 + 4y^2 = 144 – 12xy

From the questions, xy = 6

So,

9x^2 + 4y^2 = 144 – 72

Thus, the value of 9x^2 + 4y^2 = 72

Answered by GAUTHMATH

Yea it’s 72 fasho bro