SOLUTION: Determine the nature of the solution of the eqation. 7t^2-8t=0

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Question 335323: Determine the nature of the solution of the eqation. 7t^2-8t=0
Answer by solver91311(24713) About Me  (Show Source):
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Use the discriminant. For your equation: a = 7, b = -8, and c = 0.

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