Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 3 } + y = 0 \\6 x ^ { 2 } - y = 0\end{array}$$

question 142

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 3 } + y = 0 \\6 x ^ { 2 } - y = 0\end{array}$$

• A) \(( 0,0 ) , ( - 6,36 )\)
• B) \(( - 1,1 ) , ( - 6,216 )\)
• C) \(( 0,0 ) , ( 6 , - 216 )\)
• D) \(( 0,0 ) , ( - 6,216 )\)

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Definitions:

Genitofemoral

Relating to both genital and femoral (thigh) regions, often referring to a nerve providing sensation and motor function.

Common Fibular (Peroneal)

Relating to the nerve that branches from the sciatic nerve to innervate the lateral part of the shin and foot.

Brachial Plexus

A network of nerves that originates from the spinal cord in the neck and shoulders, providing motor and sensory signals to the upper limbs.

Sacral

Pertaining to the sacrum, the large, triangular bone at the base of the spine that is wedged between the two hip bones.