Solve the Equation by Completing the Square $$4 x ^ { 2 } - 7 x = 1$$

question 408

Multiple Choice

Solve the equation by completing the square.
- $$4 x ^ { 2 } - 7 x = 1$$

• A) \(\left\{ \frac { 7 \pm \sqrt { 65 } } { 8 } \right\}\)
• B) \(\left\{ - \frac { 7 } { 8 } \pm \frac { \sqrt { 65 } } { 8 } \mathrm { i } \right\}\)
• C) \(\left\{ \frac { 7 } { 8 } \pm \frac { \sqrt { 65 } } { 8 } \mathrm { i } \right\}\)
• D) \(\left\{ \frac { - 7 \pm \sqrt { 65 } } { 8 } \right\}\)

---

Definitions:

Substitute

An alternative or replacement for someone or something, often used in contexts ranging from education to food products.

Confederate Government

The government formed by the southern states that seceded from the United States from 1861 to 1865.

Basic Premise

The fundamental idea or underlying principle upon which a concept, theory, or system is based.