Question

if zeros of x^2 - kx + 6 are in the ratio 3 : 2 find k

Answer 1

Hey mate.
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The solution is in the pic.

Hope it helps ✓

Answer 2

let the roots be 3p and 2p
we know that => product of roots = c/a = 6/1 = 3p × 2p
=> p = +1 or -1

we also know that => sum of roots = -b/a = k/1 = 3p + 2p
=> 5p = k
put the value of p
=> k = +5 or -5