If x^2 - 5x + 6 = 0 and x^2 - mx + 3 = 0 have a common ... – Algebra

Algebramedium · Past Paper

If x^2 - 5x + 6 = 0 and x^2 - mx + 3 = 0 have a common root 3, find m.

✓ Correct Answer: A — 4

Substitute x=3 into the second equation: 3^2 - 3m + 3 = 0 => 9 - 3m + 3 = 0 => 12 = 3m => m = 4.

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