Solve the Absolute Value Equation or Indicate That the Equation $\left| 2 x ^ { 2 } - x - 1 \right| = 3$

question 8

Multiple Choice

Solve the absolute value equation or indicate that the equation has no solution.
- $\left| 2 x ^ { 2 } - x - 1 \right| = 3$

• A) \(\left\{ \frac { 1 - \sqrt { 33 } } { 4 } , \frac { 1 + \sqrt { 33 } } { 4 } \right\}\)
• B) \(\left\{ - \frac { 1 - \sqrt { 33 } } { 4 } , - \frac { 1 + \sqrt { 33 } } { 4 } \right\}\)
• C) \(\left\{ \frac { 1 - \sqrt { 33 } } { 4 } , - \frac { 1 + \sqrt { 33 } } { 4 } \right\}\)
• D) \(\varnothing\)

---

Definitions:

Implied

Describes something that is suggested or understood without being directly expressed or stated.

Conditions

Terms or elements in contracts that affect how parties' responsibilities are enforced or interpreted.

Conditions Precedent

Legal terms that must be met before a party is required to perform under a contract.

Executory Conditions

Provisions in a contract that require certain actions to be performed before an obligation becomes absolute.