Solve the Equation by Completing the Square $$2 x ^ { 2 } - \frac { 10 } { 3 } x + \frac { 2 } { 3 } = 0$$

question 31

Multiple Choice

Solve the equation by completing the square.
- $$2 x ^ { 2 } - \frac { 10 } { 3 } x + \frac { 2 } { 3 } = 0$$

• A) \[\frac { - 5 \pm \sqrt { 13 } } { 6 }\]
• B) \[\frac { 5 \pm \sqrt { 13 } } { 6 }\]
• C) \[\frac { 10 \pm \sqrt { 13 } } { 6 }\]
• D) \[\frac { - 10 \pm \sqrt { 13 } } { 12 }\]

---

Definitions:

Correlations

In geology, the establishment of equivalency between geological features or layers at different locations based on their characteristics and age.

Dashed Lines

Lines consisting of dashes, used in diagrams to represent boundaries, paths, or other demarcated features.

Index Fossils

Fossils of organisms that were geographically widespread but limited to a short span of geological time, used to define and identify geological periods.

Fossil Species

The remains or imprints of organisms from earlier geological periods preserved in rock.