Evaluate the Discriminant for the Equation $w ^ { 2 } - 3 w + 8 = 0$

question 336

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.
- $w ^ { 2 } - 3 w + 8 = 0$

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

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Definitions:

Reaction Rate

The speed at which reactants are converted into products in a chemical reaction, typically measured in moles per liter per second.

Transition State

A high-energy configuration through which reactants must pass to become products during a chemical reaction, representing the highest energy point of the reaction pathway.

Free Radical Chlorination

A chemical reaction where chlorine atoms initiate a chain reaction to form highly reactive free radicals, typically resulting in the halogenation of hydrocarbons.

Stability

The resistance of a chemical substance to decomposition or chemical change.