Find the value of k for which -1/2is zeros of polynomial x2+2kx-3
Answers
Answered by
4
Answer:
-11/4
Step-by-step explanation:
k=?, x=-1/2
x2+2kx-3
=(-1/2) 2+2*k*-1/2-3
=1/4-k-3
1/4-3=k
k=1-12/4
k=-11/4
Answered by
2
p(x) = x^2 + 2kx - 3
since -1/2 is a zero of p(x) —
p(-1/2) = 0
p(-1/2) = (-1/2)^2 + 2k*(-1/2) - 3 = 0
1/4 - k - 3 = 0
k = 1/4 - 3 = -11/4
since -1/2 is a zero of p(x) —
p(-1/2) = 0
p(-1/2) = (-1/2)^2 + 2k*(-1/2) - 3 = 0
1/4 - k - 3 = 0
k = 1/4 - 3 = -11/4
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