Use the Quadratic Formula to Solve the Equation $4 x ^ { 2 } + 6 x + 1 = 0$

question 145

Multiple Choice

Use the quadratic formula to solve the equation.
- $4 x ^ { 2 } + 6 x + 1 = 0$

• A) \(\frac { - 3 - \sqrt { 13 } } { 4 } , \frac { - 3 + \sqrt { 13 } } { 4 }\)
• B) \(\frac { - 3 - \sqrt { 5 } } { 4 } , \frac { - 3 + \sqrt { 5 } } { 4 }\)
• C) \(\frac { - 3 - \sqrt { 5 } } { 8 } , \frac { - 3 + \sqrt { 5 } } { 8 }\)
• D) \(\frac { - 6 - \sqrt { 5 } } { 4 } , \frac { - 6 + \sqrt { 5 } } { 4 }\)

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Definitions:

Abundant

Existent in large quantities; plentiful.

Cation

An ion with a positive charge, formed when an atom loses electrons during a chemical reaction.

Chloride

A chemical element that, when combined with sodium, forms table salt (sodium chloride), and plays vital roles in bodily functions.

Magnesium

A chemical element with the symbol Mg and atomic number 12, essential for human health, involved in over 300 biochemical reactions in the body.