Solve the Equation by Extracting the Square Roots $$3 y ^ { 2 } - 12 = 3 - 3 y ^ { 2 }$$

question 20

Multiple Choice

Solve the equation by extracting the square roots.
- $$3 y ^ { 2 } - 12 = 3 - 3 y ^ { 2 }$$

• A) \(y = 3 - \sqrt { 5 }\) or \(y = 3 + \sqrt { 5 }\)
• B) \(y = - \sqrt { \frac { 5 } { 2 } }\) or \(y = \sqrt { \frac { 5 } { 2 } }\)
• C) \(y = - \sqrt { 5 }\) or \(y = \sqrt { 5 }\)
• D) \(y = 3 - \sqrt { \frac { 5 } { 2 } }\) or \(y = 3 + \sqrt { \frac { 5 } { 2 } }\)

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Definitions:

Chlorine

A chemical element with symbol Cl and atomic number 17, known for its disinfectant properties and use in bleach.

Crystal Lattice

A highly ordered structure of atoms or molecules extending in three spatial dimensions.

Denatured Alcohol

Ethanol that has additives to make it poisonous, bad-tasting, foul-smelling, or nauseating, to discourage recreational consumption.

Balanced Equation

A chemical equation in which the number of atoms for each element is the same on both the reactant and product sides, indicating matter conservation.