Question

3 X + 2 Y is equal to 12 X Y is equal to 6 find the value of 9 X square + 4 y square

Answer 1

Answer:

9X² + 4Y² = 72

Step-by-step explanation:

3 X + 2 Y= 12

XY = 6

to find 9X² + 4Y²

Squaring both sides the equation 3 X + 2 Y= 12

=> (3X + 2Y)² = 12²

=> 9X² + 4Y² + 12XY = 144

=> 9X² + 4Y² = 144 - 12XY

now putting value of XY = 6 in equation

=> 9X² + 4Y² = 144 - (12×6)

=> 9X² + 4Y² = 144 - 72

=>  9X² + 4Y² = 72

Answer 2

Answer:

Step-by-step explanation:

3 X + 2 Y= 12

XY = 6

to find 9X² + 4Y²

Squaring both sides the equation 3 X + 2 Y= 12

=> (3X + 2Y)² = 12²

=> 9X² + 4Y² + 12XY = 144

=> 9X² + 4Y² = 144 - 12XY

now putting value of XY = 6 in equation

=> 9X² + 4Y² = 144 - (12×6)

=> 9X² + 4Y² = 144 - 72

=>  9X² + 4Y² = 72

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