CBSE Class 9 Answered
If
x and y be two positive real number such that 8x3 + 27y3
= 730 and 2x2y + 3xy2 = 15 then show that 2x + 3y = 10.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert 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)3 = 730 + 18 (15)
= 730 + 270
(2x + 3y)3 = 1000
2x + 3y = 10
Answered by | 04 Jun, 2014, 03:23: PM
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