If one zero of p(x)=4x²-(8k²-40k)x-9 is negative of the other , find values of k.
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Answer:
let the first zero be "a"
and second zero be "-a"
sum of two zeroes =-b/a
a+(-a) =(8k^3-40k)
0=2k^2-10k
2k(k-5) =0
2k=0 k-5=0
k=0 k=5
hence k=0 or 5
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