Solve the Equation by Using the Quadratic Formula $6 y + 3 = - 4 y ^ { 2 }$

question 66

Multiple Choice

Solve the equation by using the quadratic formula. $6 y + 3 = - 4 y ^ { 2 }$

• A) \(\left\{ - \frac { 1 } { 4 } + \frac { \sqrt { 105 } } { 12 } , - \frac { 1 } { 4 } - \frac { \sqrt { 105 } } { 12 } \right\}\)
• B) \(\left\{ - \frac { 9 } { 2 } , \frac { 1 } { 3 } \right\}\)
• C) \(\left\{ - \frac { 3 } { 4 } + \frac { i \sqrt { 3 } } { 4 } , - \frac { 3 } { 4 } - \frac { i \sqrt { 3 } } { 4 } \right\}\)
• D) \(\{ 2 + \sqrt { 3 } , 2 - \sqrt { 3 } \}\)

---

Definitions:

Assessment Data

Information collected through various methods to evaluate skills, knowledge, abilities, or performance.

Insurance Company

A business entity that provides financial protection or reimbursement against losses to individuals or entities, in exchange for premium payments.

DSM

The Diagnostic and Statistical Manual of Mental Disorders, a comprehensive classification system used by mental health professionals to diagnose and categorize mental disorders.

Psychological Disorder

A pattern of behavioral or psychological symptoms that impact multiple areas of life and create distress for the person affected.