SOLUTION: "The equation x^2-3x+k^2=4 has two distinct real roots. Find the possible values of k." I've already tried plugging in small integers such as �1 and �2 which has yielded answers bu

Question 978529: "The equation x^2-3x+k^2=4 has two distinct real roots. Find the possible values of k." I've already tried plugging in small integers such as �1 and �2 which has yielded answers but I want to know how to properly approach the problem and obtain all the possible solutions. Thanks.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Completely general-form quadratic equation:

Use the discriminant for finding the answer to the question. You want a discriminant that is POSITIVE.

Discriminant, .
Simplify,

----Last good step before mistake.
,, bu a more complete and correct solution here is .

Your trial of k=-1 or k=1 will work.
Your trial of k=-2 or k=2 will also work.

--
simply staying with is not adequate. It would include too many incorrect values.
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