Solve the Equation $\frac { 10 } { x + 2 } - \frac { 1 } { x } = \frac { 1 } { 5 x }$

question 134

Multiple Choice

Solve the equation. Check for extraneous solutions. $\frac { 10 } { x + 2 } - \frac { 1 } { x } = \frac { 1 } { 5 x }$

• A) \(x = \frac { 6 } { 23 }\)
• B) \(x = \frac { 1 } { 4 }\)
• C) \(x = \frac { 3 } { 14 }\)
• D)\(x = \frac { 3 } { 11 }\)
• E) \(x = \frac { 2 } { 7 }\)

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Definitions:

Secondary Schemes

Developmental actions in infants that show a higher level of coordination and cognitive abilities, typically emerging around 12-18 months.

Deliberate Trial-And-Error

A methodical approach to problem-solving that involves intentional experimentation to find a solution.

Secondary Schemes

Developmental behaviors observed in infants from around 4 to 8 months of age, indicating the emergence of coordinated actions involving both sensory and motor activities.

Simple Reflex

A basic, automatic response to a stimulus that does not involve any conscious decision, such as the knee-jerk reaction.