Find the lesser root of the equation $x^{2} - 12 x + 35 = 0$ .

5

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7

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9

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11

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Solution

The correct option is B $5$
$x^{2} - 12 x + 35 = 0$
$x^{2} - 7 x - 5 x + 35 = 0$
$x (x - 7) - 5 (x - 7) = 0$
$(x - 5) (x - 7) = 0$
$x = 5, 7$
Thus, the lesser root is 5.
Hence, option A is correct.

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