How Many Real Roots Does the Equation $x^{5}-7 x+c=0$ Have in the Interval

question 70

Multiple Choice

How many real roots does the equation $x^{5}-7 x+c=0$ have in the interval $[-1,1]$ ?

• A) at most five real roots
• B) no real roots
• C) at most one real root
• D) at most two real roots
• E) at most three real roots

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Definitions:

Schizophrenia

A long-term mental disorder involving a breakdown in the relation between thought, emotion, and behavior, leading to faulty perception, inappropriate actions and feelings, withdrawal from reality and personal relationships into fantasy and delusion, and a sense of mental fragmentation.

Hallucinations

Hearing or seeing things that are not there.

Delusions

False beliefs held with strong conviction despite superior evidence to the contrary, often symptomatic of psychiatric disorders.

Bulimia Nervosa

An eating disorder marked by binge eating followed by purging, through methods such as vomiting or the use of laxatives, to prevent weight gain.