Question

find the value of the expression 4x²+9y²,if 2x+3y=8 and xy=4​

Answer 1

Answer:

16

Step-by-step explanation:

4x^2 + 9y^2 = (2x)^2 + (3y)^2

Now,

(2x + 3y)^2 = 4x^2 + 9y^2 + 12xy

8^2 = 4x^2 + 9y^2 + 12 ×4

64 = 4x^2 + 9y^2 + 48

4x^2 + 9y^2 = 64 - 48 = 16