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)
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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