if 2A + 3 b is equals to 13 and ab is equals to 6 find the value of 8 acube + 27 b cube
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Hey there
We have,
2A + 3B = 13 .....(1)
also,
AB = 6
A = 6/B .....(2)
putting value of A from (2) to eq (1),
2A + 3B = 13
2(6/B) + 3B = 13
12/B + 3B = 13
(12 + 3B^2)/B = 13
12 + 3B^2 = 13B
3B^2 - 13B + 12 = 0
3B^2 - 9B - 4B + 12 = 0
3B (B - 3) - 4 (B - 3) = 0
(3B - 4) (B - 3) = 0
B = 4/3 or B = 3
if B = 3,
2A + 3×3 = 13
2A = 4
A = 2
if B = 4/3
2A + (4/3)×3 = 13
2A = 9
A = 9/2
Now,
in 8 A^3 + 27 B^3
put the value of A and B,
u will get the answer
Hope it helps you
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