Question

Compute the value of 9x2 + 4y2 if xy = 6 and 3x + 2y = 12.

Answer 1

Answer:

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Answer 2

S O L U T I O N :

Consider the equation 3x + 2y = 12

Now, square both sides:

(3x + 2y)² = 122

=> 9x² + 12xy + 4y² = 144

=>9x² + 4y² = 144 – 12xy

From the questions, xy = 6

So,

9x² + 4y² = 144 – 72

Thus, the value of 9x² + 4y² = 72