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Comparing Solutions to Possible Equations Part 2 Solutions

Using technology, find two equations with the solutions: $x = \frac{1}{2}, \frac{2}{3}$

Sample:

$y = (2 x - 1) (3 x - 2) or y = 6 x^{2} - 7 x + 2$

$y = (x - \frac{1}{2}) (x - \frac{2}{3})$

Using technology, find two equations with the solutions: $x = \pm \sqrt{11}, \frac{3}{4}$

Sample:

$y = (x - \sqrt{11}) (x + \sqrt{11}) (4 x - 3) or y = 4 x^{3} - 3 x^{2} - 44 x + 33$ $y = (x - \sqrt{11}) (x + \sqrt{11}) (x - \frac{3}{4})$

$y = (x - \sqrt{11}) (x + \sqrt{11}) (x - \frac{3}{4})$

You do not need to multiply the expressions together, all you need to do is type the expressions in parentheses.

Note

The equations for A and B are sample equations. There are more equations that contain the same solutions.

Use of the Desmos Graphing Calculator and other Desmos Tools is used with permission from Desmos Studio, PBC.