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3 years ago

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

Mathematics

1 answer:

Sindrei [870]3 years ago

8 0

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

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3 years ago

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

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