SOLUTION: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 13x^2+4x+20=0 What is the value of the discriminant? one real soluti

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 13x^2+4x+20=0 What is the value of the discriminant? one real soluti      Log On


   

Question 382465: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 13x^2+4x+20=0
What is the value of the discriminant? one real solution, two imaginary solutions, two real solutions?
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:

No calculation quick look: If the signs on and are opposite, then guaranteed.

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


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