If one of the values of x of the equation 2.x2 - 6x + k = 0 be
½(a + 5i), find the values of a and k
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Step-by-step explanation:
ANSWER
complex roots always occur in conjugate pair
2x
2
−6x+k=0
sum=3
product =
2
k
one root is
2
α+5i
other root is
2
α−5i
sum=
2
α+5i
+
2
α−5i
=3
α=3
product = k = (
2
3+5i
)(
2
3−5i
)
=
4
9−25i
2
=
4
9+25
=
2
17
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