Question

2. . Compute the value of 9x2 + 4y2 if xy = 6 and 3x + 2y = 12.
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Given:

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

Calculations:

We know that, the give equation is:

⇒ $\sf 3x + 2y = 12$

We have to square both the sides:

⇒ $\sf 3x + 2y^2 = 12^2$

⇒ $\sf 9x^2 + 12xy + 4y^2 = 144$

⇒ $\sf 9x^2 + 4y^2 = 144 - 12xy$

Taking, (xy = 6):

⇒ $\sf 9x^2 + 4y^2 = 144 - 72$

⇒ ${\sf{\underline{\boxed{\green{\sf{ 9x2 + 4y2 = 72}}}}}}$

This is the required answer: