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The equation given is \( x^2 - 8x + 12 = 0 \).

Using Vieta's formulas:

For a quadratic equation \( ax^2 + bx + c = 0 \):

• The sum of the roots \( (x_1 + x_2) \) is given by \( -b/a \).
• The product of the roots \( (x_1 \cdot x_2) \) is given by \( c/a \).

In this equation:

• \( a = 1 \), \( b = -8 \), \( c = 12 \).

So:

• Sum of the roots: \( x_1 + x_2 = 8 \)
• Product of the roots: \( x_1 \cdot x_2 = 12 \)

The roots are \( x_1 = 6 \) and \( x_2 = 2 \).