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The sum of the roots of the equation $x^{2} - 6 x + 2 = 0$ is

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2

-2

-6

answer is C.

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Detailed Solution

Given quadratic equation is

x^{2} - 6 x + 2 = 0

.
We know that,
The standard form of a quadratic equation is

a x^{2} + bx + c = 0,

where

a, b c

are real numbers and

a \neq 0

.
Then, sum of the roots is given by

- \frac{b}{a}

.
After comparing the given equation with the standard form, we get,

a = 1, b = - 6, c = 2

Then,
Sum of the roots

= - \frac{b}{a}

= - \frac{(- 6)}{1}

= 6

∴

The sum of the roots of the equation

x^{2} - 6 x + 2 = 0

is 6.
Hence, the correct option is 3.

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