SOLUTION: Now discuss this quadratic equation and determine the number and nature of the solutions, using the determine whether the solutions are real or complex?
3x^2 - 2x - 1 = 0
Algebra.Com
Question 331078: Now discuss this quadratic equation and determine the number and nature of the solutions, using the determine whether the solutions are real or complex?
3x^2 - 2x - 1 = 0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
For any quadratic polynomial equation of the form:
For your quadratic:
, 
, and 
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 
John
My calculator said it, I believe it, that settles it
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