Math Help - 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.

Thanx

2. 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.

$x = 8 + 2 \sqrt{16+k}$ and $x = 8 - 2 \sqrt{16+k}$.
Take the difference: $4 \sqrt{16 + k}$.