Algebramedium · Past Paper
Find k if one root of x^2 - 8x + k = 0 is 3 times the other.
A12
B16
C9
D15
✓ Correct Answer: A — 12
Roots α, 3α. α+3α=8 → 4α=8 → α=2. Other root is 6. k = α(3α) = 2*6 = 12.
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✓ Correct Answer: A — 12
Roots α, 3α. α+3α=8 → 4α=8 → α=2. Other root is 6. k = α(3α) = 2*6 = 12.
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