X + Y is equal to 12 X Y is equal to 27 find x cube and y cube
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x+y=27..............(1)
12xy=27. or. x=27/(12y).........….(2)
put (2) in (1)
27/(12y)+y=27
(12y²+27)/12y=27
12y²+27=324y
12y²-324y+27=0
further this quadratic eqn. is solved
by formula,
x= [ -b+-√(b²+4ac)]/2a
b= -324,a=12,c=27
x=[324+-√(104976+1296)]/24
x=13.6+-13.5
x=27.1 or 0.1
when x=27.1 y= -0.1. then x³=19902.5 and y³= -0.001
when x=0.1. y=26.9. then x³=0.001 and y³=19465.1
12xy=27. or. x=27/(12y).........….(2)
put (2) in (1)
27/(12y)+y=27
(12y²+27)/12y=27
12y²+27=324y
12y²-324y+27=0
further this quadratic eqn. is solved
by formula,
x= [ -b+-√(b²+4ac)]/2a
b= -324,a=12,c=27
x=[324+-√(104976+1296)]/24
x=13.6+-13.5
x=27.1 or 0.1
when x=27.1 y= -0.1. then x³=19902.5 and y³= -0.001
when x=0.1. y=26.9. then x³=0.001 and y³=19465.1
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