SOLUTION: Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions. 100x^2-240x+144=

Algebra ->  Square-cubic-other-roots -> SOLUTION: Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions. 100x^2-240x+144=      Log On


   

Question 329292: Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions.
100x^2-240x+144=0
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

John

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