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Common Roots

The equation ...

Question

The equation $x^{2} - 7 x + 12 = 0$ has distinct roots find them.

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Solution

$x^{2} - 7 x + 12 = 0 x^{2} - 3 x - 4 x + 12 = 0 x (x - 3) - 4 (x - 3) = 0 (x - 3) (x - 4) = 0 x = 3, 4$

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