Evaluate the Discriminant for the Equation $25 x ^ { 2 } - 10 x + 1 = 0$

question 472

Multiple Choice

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex.
- $25 x ^ { 2 } - 10 x + 1 = 0$

• A) Two distinct rational solutions
• B) Two distinct nonreal complex solutions
• C) One rational solution (a double solution)
• D) Two distinct irrational solutions

Acknowledge the multi-organ system involvement in maintaining body functions.

Describe the anatomical relationships and positional descriptors within the human body.

Understand the distinct features and functions of different body systems, such as the digestive, respiratory, and urinary systems.

Grasp the concepts of body temperature regulation, including the role of the hypothalamus and physiological mechanisms like vasoconstriction.

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Definitions:

Long Run

A period in which all factors of production and costs are variable, allowing for full adjustment to change.

Marginal Revenue

The additional income gained from selling one more unit of a product or service.

Monopolist's Demand Curve

The demand curve faced by a monopolist, which is the same as the market demand curve, indicating that the monopolist can set the price only by choosing the quantity to produce.

Elastic

Describes a situation in which the demand or supply for a product changes significantly when its price changes.