Evaluate the Discriminant for the Equation $4 - 6 a ^ { 2 } = - 2 a + 1$

question 90

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.
- $4 - 6 a ^ { 2 } = - 2 a + 1$

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

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Definitions:

Geometric Forms

Shapes and figures that are defined in mathematics by precise terms and formulas, such as circles, squares, and triangles.

Concept Formation

The process of learning new categories by organizing and classifying information based on shared features or characteristics.

Algorithm

A methodical, logical rule or procedure that guarantees solving a particular problem. Contrasts with the usually speedier—but also more error-prone—use of heuristics.

Trial and Error

A problem-solving method involving repeated, varied attempts which are continued until success is achieved or the agent stops trying.