Question

if x and y are two positive real number, such that 8x³+27y³=730 and 2x²y+3xy²=15,evaluate2x+3y
step wise step solution best answer I will mark as brainlist ​

Answer 1

Answer:

8x3 + 27y3 = 730

2x2y + 3xy2 = 15

(2x + 3y)3 = (2x)3 + (3y)3 + 3 (2x) (3y) (2x + 3y)

= 8x3 + 27y3 + 18xy (2x + 3y)

(2x + 3y)3 = 8x3 + 27y3 + 18 (2x2y + 3xy2)

(2x + 3y)2 = 730 + 18 (15)

= 730 + 270

(2x + 3y)3 = 1000

2x + 3y = 10