Give All Solutions of the Nonlinear System of Equations, Including $$\begin{array} { l } y = x ^ { 2 } - 8 x + 16 \\x + y = 4\end{array}$$

question 122

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $$\begin{array} { l } y = x ^ { 2 } - 8 x + 16 \\x + y = 4\end{array}$$

• A) \(\{ ( - 3,7 ) , ( - 4,8 ) \}\)
• B) \(\{ ( 3,7 ) , ( 4,0 ) \}\)
• C) \(\{ ( 3,1 ) , ( 4,0 ) \}\)
• D) \(\{ ( 4,0 ) \}\)

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Definitions:

Cohesiveness

The characteristic of molecules or particles sticking together in a mass, important in various physical and biological processes.

Ionic Bonds

A chemical bond formed between two ions with opposite charges through the transfer of one or more electrons from one atom to another.

Polar Covalent Bonds

A type of chemical bond where two atoms share a pair of electrons, but the electrons are not shared equally, leading to a distribution of charge.

Water Molecules

Water molecules consist of two hydrogen atoms and one oxygen atom bonded together, making up the liquid that is vital for all forms of life on Earth.