find the value of 4x²+9y² if 2x+3y=3/2 and xy=½
Answers
Answered by
2
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
Answered by
1
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
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