MAT117Week7DQ1 - More generally, if the roots are: a and b...

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MAT/117 Week7 Discussion Question 1 1. How do you know if a quadratic equation will have one, two, or no solutions? b^2-4ac is the discriminant: if it is negative you have two complex number solutions (no solutions) If it is zero you have two equal Real number solutions If it is positive you have two Real number solutions 2. How do you find a quadratic equation if you are only given the solution? If solutions are "a" and "b", the equation is y = d(x-a)(x-b) Or if the solutions are x=5 and x= 7 Then (x-5)*(x-7) = 0 will give a quadratic equation with those solutions
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Unformatted text preview: More generally, if the roots are: a and b (x-a)*(x-b) = 0 then just multiply it out 3. Is it possible to have different quadratic equations with the same solution? Yes because the "d" in answer #2 can have different values. One quick way to see that, is to just multiply by a constant CC(x-a)*(x-b) = 0 same root, different equation. Solutions for the class to create equations from: 1. The solution is 20 2. The solutions are x=1 x=6 3. The solutions are x=10 x=0...
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