Find the Values of A, B, and C for Which $$a x ^ { 2 } + b x + c = 0$$

question 161

Multiple Choice

Find the values of a, b, and c for which the quadratic equation $$a x ^ { 2 } + b x + c = 0$$ has the given numbers as solutions. Then
use those values to write a quadratic equation.
- $$- 8 + \sqrt { 13 } , - 8 - \sqrt { 13 }$$

• A) \(x ^ { 2 } - 16 x + 51 = 0\)
• B) \(x ^ { 2 } + 64 x + 77 = 0\)
• C) \(x ^ { 2 } + 16 x + 77 = 0\)
• D) \(x ^ { 2 } + 16 x + 51 = 0\)

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Definitions:

Cerebellum

A region of the brain that plays a significant role in motor control, and it may also be involved in some cognitive functions.

Motor Coordination

The harmonious functioning of muscles or groups of muscles for smooth and efficient movement, often involving the integration of sensory input with motor output.

Point Estimate

A single value (or point) estimate to summarize a likely value for a population parameter based on sample data.

Unknown Parameter

A quantity in a statistical model that needs to be estimated from the data because its value is not known a priori.