Question

If 2x-3y=5,xy=2 find the value of 4x^2+9y^2

Answer 1

Answer:

Step-by-step explanation:

2x-3y=5       xy=2

now squaring both the side we get

4x^2+9y^2-12xy=25

now substituting xy value

4x^2+9y^2-12x2=25

4x^2+9y^2=49

solved...

Answer 2

Solution :-

Provided :-

• 2x - 3y = 5

• xy = 2

We know that

• a² + b² = (a - b)² + 2ab

Using this

→ 4x² + 9y² = ( 2x - 3y )² + 12xy

→ 4x² + 9y² = (5)² + 2.(2)

→ 4x² + 9y² = 25 + 24

→ 4x² + 9y² = 49