Hi

I was just wondering if anyone could please help me with this question:

Find the values of k for which the equation x^2 + 16x - 4k = 0 has the roots differing by 6.

I tried doing: Let the roots be a and a - 6 but that obviously doesn't get me any close to the answer.

Please, any help?

Thanx

Use the quadratic formula to get the solutions in terms of k. After simplifying you get:

and .

Take the difference: .

Equate the difference to 6 and solve for k.

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