Evaluate the Discriminant for the Equation $$s ^ { 2 } - 6 s + 5 = 0$$

question 418

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.
- $$s ^ { 2 } - 6 s + 5 = 0$$

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

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Definitions:

Brittleness

A material property indicating how easily it breaks or cracks under stress without significant deformation.

Sulphur

A chemical element known for its yellow color and distinct smell, commonly used in fertilizers, industrial processes, and as a component of some fuels.

Produced Steel

Steel that has been manufactured and processed according to specified standards or requirements.

Thermosetting

The process of transforming a polymer into a more durable material through a curing process involving heat or chemical action.