Find the X-Intercepts (If Any)for the Graph of the Quadratic $$3 x ^ { 2 } + 10 x + 6 = 0$$

question 33

Multiple Choice

Find the x-intercepts (if any) for the graph of the quadratic function.
- $$3 x ^ { 2 } + 10 x + 6 = 0$$
Give your answers in exact form.

• A) \(\left( \frac { - 5 \pm \sqrt { 7 } } { 3 } , 0 \right)\)
• B) \(\left( \frac { - 5 \pm \sqrt { 7 } } { 6 } , 0 \right)\)
• C) \(\left( \frac { - 10 \pm \sqrt { 7 } } { 3 } , 0 \right)\)
• D) \(\left( \frac { - 5 \pm \sqrt { 43 } } { 3 } , 0 \right)\)

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Definitions:

Utility

A term in economics referring to the satisfaction or benefit derived by consuming a product or service.

Consumption

Refers to the use of goods and services by households.

Utils

An imaginary unit of measurement used in economics to represent the satisfaction or utility received from consuming goods and services.

Marginal Utility

An additional amount of satisfaction gained from consuming an extra unit of a good, highlighting the concept of diminishing returns.