SOLUTION: p(x)=4x^3-16x^2+21x-27 has three real roots one of them is 3 and a conjugate complex pair of roots which is _____ +- _____i
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Question 18077: p(x)=4x^3-16x^2+21x-27 has three real roots one of them is 3 and a conjugate complex pair of roots which is _____ +- _____i
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
p(x)=4x^3-16x^2+21x-27 has three real roots one of them is 3 and a conjugate complex pair of roots which is _____ +- _____i
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the wording of the problem is not correct ...to say the eqn. has 3 real roots
and then ask for conjugate complex pair of roots which is _____ +- _____i
ANY WAY LET US SOLVE AND SEE...
since 3 is a root x-3 is a factor.let us divide with x-3 using short division.
3..|..4....-16....21....-27
...|..0.....12....-12....27
-----------------------------------------------
......4....-4.....9......0 is remainder
4x^2-4x+9=0...using the formula for roots of ax^2+bx+c=0 ,we have...
...and..
.....
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