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:

Organic Compound

A chemical compound that contains carbon-hydrogen bonds, typically produced by living organisms or synthesized in laboratories.

Palmitic Acid

A saturated fatty acid commonly found in animals and plants, used in the manufacture of soaps and cosmetics.

Oleic Acid

A monounsaturated fatty acid often found in various plants and animals, important for human health and used in cooking oils.

Ozone

A molecule composed of three oxygen atoms (O3), known for its role in absorbing ultraviolet radiation in the Earth's stratosphere.