Quadratics

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. (Crying)

Please, any help?

Thanx

Quote:

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Originally Posted by xwrathbringerx

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. (Crying)

Please, any help?

Thanx

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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.