SOLUTION: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 13x^2+4x+20=0 What is the value of the discriminant? one real soluti

SOLUTION: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 13x^2+4x+20=0 What is the value of the discriminant? one real soluti

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Question 382465: For the following equation, state the value of the discriminant and then describe the nature of the solutions. 13x^2+4x+20=0
What is the value of the discriminant? one real solution, two imaginary solutions, two real solutions?
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

John

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

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