Algebrahard · Past Paper

Find 'p' such that roots of 2x^2 + px + 4 = 0 are in ratio 1:2.

A±6
B±4
C6
D4

✓ Correct Answer: A±6

Roots k, 2k. Product 2k^2 = 4/2 = 2 => k^2=1 => k=±1. Sum 3k = -p/2 => p = -6k = ±6.

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