The difference of the roots of $x^{2} - 7 x - 9 = 0$ is

- 2

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16

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2 \sqrt{85}

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\sqrt{85}

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Solution

The correct option is D $\sqrt{85}$
Quadratic equation is $x^{2} - 7 x - 9$ .
$a + β = 7, a β = - 9$
$(a - β)^{2} = (a + β)^{2} - 4 a β = 49 + 36 = 85$
or $a - β = \sqrt{85}$

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