Use the Square Root Property to Solve the Equation $( 4 x + 3 ) ^ { 2 } = 6$

question 49

Multiple Choice

Use the square root property to solve the equation.
$( 4 x + 3 ) ^ { 2 } = 6$

• A) \(\left\{ - \frac { 9 } { 4 } , \frac { 3 } { 4 } \right\}\)
• B) \(\left\{ \frac { - 3 - \sqrt { 6 } } { 4 } , \frac { - 3 + \sqrt { 6 } } { 4 } \right\}\)
• C) \(\left\{ \frac { \sqrt { 6 } - 3 } { 4 } , \frac { \sqrt { 6 } + 3 } { 4 } \right\}\)
• D) \(\left\{ \frac { 3 - \sqrt { 6 } } { 4 } , \frac { 3 + \sqrt { 6 } } { 4 } \right\}\)

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Definitions:

Homosexuals

Individuals who are romantically or sexually attracted to people of their same sex.

Reproductive Capability

The ability of an organism to produce offspring, thereby ensuring the continuation of its species.

Hormonal Changes

Variations in the body's chemical messengers, which can affect mood, health, and behavior, often significant during various life stages.

Gonads

The reproductive organs that produce gametes and sex hormones; ovaries in females and testes in males.