Solve the Equation in the Real Number System $x ^ { 4 } - 21 x ^ { 2 } - 100 = 0$

question 97

Multiple Choice

Solve the equation in the real number system.
- $x ^ { 4 } - 21 x ^ { 2 } - 100 = 0$

• A) \(\{ - 5,5 \}\)
• B) \(\{ - 5 , - 2,2,5 \}\)
• C) \(\{ - 10,10 \}\)
• D) \(\{ - 2,2 \}\)

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Definitions:

Directional Selection

A form of natural selection in which individuals with traits on one end of the spectrum are more likely to survive and reproduce, leading to an overall shift in the population.

Stabilizing Selection

An evolutionary process that favors the average variants in a population, leading to a decrease in diversity for the trait in question.

Disruptive Selection

Disruptive selection favors individuals at the tails of the distribution of phenotypes present in a population (for example, by acting against individuals with intermediate trait values).

Stalk-Eyed Flies

A group of flies known for having long protrusions from the sides of their heads, bearing the eyes and antennae, a trait believed to be sexually selected.