if a+b=12 and ab=27,find the value of a^3+b^3
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jitendrajaya123:
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a+b=12 ab=27 a^3+b^3=
a+b=12
a=12-b---------------- ( 1 )
ab=27
b=27/a --------------- ( 2 )
a^3+b^3 = (12-b)^3 + (27/a)^3
= 12^3 - b^3 - 3* 12 b ( 12 - b )
=144 - b^3 - 36 b (12-b)
144 - b^3 - 432 b - b^2
-b^3 -b^2 -432 b +144
-b-432 b + 144
- 431 b + 144
144 = 431 b
b= 144 / 431
b = 2.99
a + 2.99 =12
a= 12-2.99
a= 9.01
. ' . a^3 + b^3 = 2901
Not correct.... Answer is wrong....
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