# How do you use the quadratic formula to solve for x-intercepts #x^2 - 8x + 12 = 0#?

See a solution process below:

According to the quadratic formula,

Replacing:

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To use the quadratic formula to solve for the x-intercepts of (x^2 - 8x + 12 = 0), first identify the coefficients a, b, and c in the quadratic equation (ax^2 + bx + c = 0). In this case, (a = 1), (b = -8), and (c = 12). Then, substitute these values into the quadratic formula:

[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ]

Finally, simplify the expression to find the values of x.

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