SOLUTION: Sir/Madam,
A pleasant day! please help me with this problem:
Find the value of k so that the equation 2x^2-kx+8=0 will have imaginary roots .
Thank you very much for helping m
Algebra.Com
Question 767408: Sir/Madam,
A pleasant day! please help me with this problem:
Find the value of k so that the equation 2x^2-kx+8=0 will have imaginary roots .
Thank you very much for helping me!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Find the value of k so that the equation 2x^2-kx+8=0 will have imaginary roots .
.
From part of the "quadratic equation" we have:
The equation will have imaginary root if:
(b^2-4ac) < 0
plug in given values:
((-k)^2-4(2)(8)) < 0
(k^2-64) < 0
k^2 < 64
k < sqrt(64)
.
answer: (in interval notation)
(-8, 8)
That is, -8 < k < 8
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