SOLUTION: determine the nature of the solutions of the equation t^2-6t=0 A) 2 real solutions B)1 real solution C) 2 imaginary solution

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Question 631195: determine the nature of the solutions of the equation
t^2-6t=0
A) 2 real solutions
B)1 real solution
C) 2 imaginary solution

Answer by solver91311(24713)   (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 (the rationals).

One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors. Presuming rational coefficients, the root will be rational as well.

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

John

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