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## Solmyr 2 years ago Use complete sentences to explain how you would use graphing technology to find the solutions of 0 = 2x2 − 3x + 0.5. What do the solutions of 0 = 2x2 − 3x + 0.5 represent on the graph of the equation?

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1. Ephilo

plot y = 2x^2 − 3x + 0.5 at the points where the curve touches the x-axis 2x^2 − 3x + 0.5 = 0 the points where y = 0 represent the real factors of 2x^2 − 3x + 0.5 in this case x ≈ 0.19098 and x ≈ 1.30902 so y ≈ 2(x - 0.19098)(x - 1.30902)

2. Ephilo

or

3. Ephilo

Set the equation to a funtion f(x) or y, such that y = 2x^2 - 3x +0.5, Let x = various values, say -2, -1, 1, 2 and maybe a few more, the more you have the more accurate your answer will be Calculate the y values, by substituting each value of x into the above equation. For example, if you let x = 1, then y = 1.5, you will plot the point (1,1.5), Connect all the dots. The graph you blot will look like a smooth upward skinny V, just to the left of the middle, or y, axis. Where the graph hits the horizontal, or x axis, are the solution to the above equation.

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