The common root of $x^{2} - 9 x + 20 = 0 x^{2} - 12 x + 35 = 0$

5

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6

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4

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7

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Solution

The correct option is A $5$
$x^{2} - 9 x + 20 = 0 x^{2} - 5 x - 4 x + 20 = 0 x (x - 5) - 4 (x - 5) = 0 (x - 4) (x - 5) = 0 x = 4, 5 x^{2} - 12 x + 35 = 0 x^{2} - 5 x - 7 x + 35 = 0 x (x - 5) - 7 (x - 5) = 0 (x - 7) (x - 5) = 0 x = 7, 5$
So the common root is $5$

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