Find the common root of $x^{2} - 12 x + 32 = 0 x^{2} - 9 x + 20 = 0$

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Solution

The correct option is D 4
$x^{2} - 12 x + 32 = 0 x^{2} - 4 x - 8 x + 32 = 0 x (x - 4) - 8 (x - 4) = 0 (x - 4) (x - 8) = 0 x = 4, 8 x^{2} - 9 x + 20 = 0 x^{2} - 4 x - 5 x + 20 = 0 x (x - 4) - 5 (x - 4) = 0 (x - 4) (x - 5) = 0 x = 4, 5$
So the common root is $4$

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