Question

find the value of 4x²+9y² if 2x+3y=3/2 and xy=½​

Answer 1

Answer:

-15/4

Step-by-step explanation:

(2x+ 3y)² = (3/2)² = 9/4

AND ALSO (2x+3y)²= 4x² + 9y² + 12xy where xy = 1/2

so

4x²+9y² + 6 = 9/4

4x² + 9y² = 9/4 - 6

4x² + 9y² = -15/4 = -3.75

Answer 2

Step-by-step explanation:

xy=1/2

x=y/2

2x+3y=3/2

2y/2+3y=3/2

4y=3/2

y=3/8

put the numerical value of y in xy=1/2

X×3/8=1/2

x=1/2×8/3

x=4/3

put the numerical value of x and y in 4x²+9y²

Ans. 64/9+81/64

• 4825/576

• 8.376