SOLUTION: Determine the nature of the solution of the equation. 7t^2-8t=0 A) 2 real solutions B) 2 imaginary solutions C) 1 real solution

SOLUTION: Determine the nature of the solution of the equation. 7t^2-8t=0 A) 2 real solutions B) 2 imaginary solutions C) 1 real solution

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Question 335714: Determine the nature of the solution of the equation. 7t^2-8t=0
A) 2 real solutions
B) 2 imaginary solutions
C) 1 real 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

.

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

You have to put your quadratic into standard form and then you can see that a = 7, b = -8, and c = 0.

John

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

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