Math, asked by alishasrivastava87, 8 months ago

if 2A + 3 b is equals to 13 and ab is equals to 6 find the value of 8 acube + 27 b cube​

Answers

Answered by rayid11
0

Answer:

Step-by-step explanation:

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Answered by kabirsingh18
1

Answer:

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

Please mark it as branliest

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