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The quadratic equation 3x^2 - (k^2 + 5k)...

The quadratic equation `3x^2 - (k^2 + 5k) x + 3k^2 - 5k = 0`
has real roots of equal magnitude and opposite sign. Which one of the following is correct?

A

`0 lt k lt 5/3`

B

`0 lt k lt 3/5` only

C

`3/5 lt k lt 5/3`

D

No such value of k exists

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