SOLUTION: Now discuss this quadratic equation and determine the number and nature of the solutions, using the logic you stated above:Please show the work and steps please. 3x2 - 2x - 1 =

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Now discuss this quadratic equation and determine the number and nature of the solutions, using the logic you stated above:Please show the work and steps please. 3x2 - 2x - 1 =       Log On


   

Question 331402: Now discuss this quadratic equation and determine the number and nature of the solutions, using the logic you stated above:Please show the work and steps please.
3x2 - 2x - 1 = 0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


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

John

My calculator said it, I believe it, that settles it