The sum of the roots of the equation `x^(2)-6x+2=0` is

Options

A. 2
B. -2
C. 6
D. -6

Answer

To find the sum of the roots of the quadratic equation \(x^2 - 6x + 2 = 0\), we can follow these steps:

### Step 1: Identify the coefficients
In the standard form of a quadratic equation \(ax^2 + bx + c = 0\), we can identify the coefficients:
- \(a = 1\)
- \(b = -6\)
- \(c = 2\)

### Step 2: Use the formula for the sum of the roots
The sum of the roots of a quadratic equation can be calculated using the formula:
\[ \text{Sum of the roots} = -\frac{b}{a} \]

### Step 3: Substitute the values of \(b\) and \(a\)
Now, we substitute the values of \(b\) and \(a\) into the formula:
\[ \text{Sum of the roots} = -\frac{-6}{1} \]

### Step 4: Simplify the expression
Now, we simplify the expression:
\[ \text{Sum of the roots} = \frac{6}{1} = 6 \]

### Conclusion
Thus, the sum of the roots of the equation \(x^2 - 6x + 2 = 0\) is \(6\).

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