SOLUTION: Determine what type of solutions the quadratic equation x²+ 3x – 7 = 0 offers.

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Question 326247: Determine what type of solutions the quadratic equation x²+ 3x – 7 = 0 offers.
Answer by solver91311(24713) About Me  (Show Source):
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For any quadratic polynomial equation of the form:



Find the Discriminant, and evaluate the nature of the roots as follows:


Two real and unequal roots. If is a perfect square, the quadratic factors over .

One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors.

A conjugate pair of complex roots of the form where is the imaginary number defined by

But here is a shortcut. Whenever the signs on and are opposite as in this problem, is guaranteed.

John