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Solve the quadratic equation x2 - 6x + 8 = 0 by the graphing method.

Solve the quadratic equation x2 - 6x + 8 = 0 by the graphing method.-example-1
User Kiafiore
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The given quadratic equation is

x^2 - 6x + 8 = 0

It can be written as

y = x^2 - 6x + 8

We would substitute values of x into the equation and find corresponding values of y. We have

For x = - 1, y = -1^2 - 6(-1) + 8 = 15

For x = 0, y = 0^2 - 6(0) + 8 = 8

For x = 1, y = -1^2 - 6(11) + 8 = 3

The graph is shown below

The solutions are the values of x where the curve touches the x axis.

The solutions are

x = 2

x = 4

Solve the quadratic equation x2 - 6x + 8 = 0 by the graphing method.-example-1
User Jehu
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