Solve the Equation by Making an Appropriate Substitution $2 x ^ { 1 / 2 } - 5 x ^ { 1 / 4 } - 12 = 0$

question 85

Multiple Choice

Solve the equation by making an appropriate substitution.
- $2 x ^ { 1 / 2 } - 5 x ^ { 1 / 4 } - 12 = 0$

• A) \(\{ 256 \}\)
• B) \(\left\{ 256 , \frac { 81 } { 16 } \right\}\)
• C) \(\{ - 4 , - 3 \}\)
• D) \(\left\{ 4 , - \frac { 3 } { 2 } \right\}\)

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Definitions:

Opportunity Cost

The result of losing potential upsides from other choices by committing to one.

Market Price

The current market price for purchasing or selling goods or services.

Opportunity Cost

The benefit lost when one decision is made over another, effectively the cost of forgoing the next best alternative.

Park Construction

The process of designing, planning, and building an area of land with recreational facilities, natural elements, and landscaping intended for public use.