Solve the Equation by the Method of Your Choice $$6 x ^ { 2 } + 12 x + 1 = 0$$

question 419

Multiple Choice

Solve the equation by the method of your choice.
- $$6 x ^ { 2 } + 12 x + 1 = 0$$

• A) \(\left\{ \frac { - 6 - \sqrt { 42 } } { 6 } , \frac { - 6 + \sqrt { 42 } } { 6 } \right\}\)
• B) \(\left\{ \frac { - 12 - \sqrt { 30 } } { 6 } , \frac { - 12 + \sqrt { 30 } } { 6 } \right\}\)
• C) \(\left\{ \frac { - 6 - \sqrt { 30 } } { 6 } , \frac { - 6 + \sqrt { 30 } } { 6 } \right\}\)
• D) \(\left\{ \frac { - 6 - \sqrt { 30 } } { 12 } , \frac { - 6 + \sqrt { 30 } } { 12 } \right\}\)

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Definitions:

Hydrogen Bonds

Weak bonds between two molecules caused by the electrostatic attraction between a proton in one molecule and an electronegative atom in the other.

Adenine And Thymine

Adenine and Thymine are complementary nitrogenous bases in DNA, where Adenine (A) pairs with Thymine (T) through hydrogen bonding.

Nucleotide Excision Repair

A DNA repair mechanism that removes and correctly replaces a damaged segment of DNA using the undamaged strand as a template.

Nuclease

An enzyme that helps in breaking down nucleic acids by cleaving the phosphodiester bonds between nucleotides.