Solve for the Specified Variable $x ^ { 2 } - 2 c x - 8 c ^ { 2 } = 0$

question 7

Multiple Choice

Solve for the specified variable. Assume that all other variables are nonzero
- $x ^ { 2 } - 2 c x - 8 c ^ { 2 } = 0$ ; for $x$

• A) \(\mathrm { x } = 2 \mathrm { c } , - 4 \mathrm { c }\)
• B) \(x = - 2 c , 4 c\)
• C) \(x = \pm \sqrt { 8 c ^ { 2 } - 2 c x }\)
• D) \(x = \pm \sqrt { 8 \mathrm { c } ^ { 2 } + 2 \mathrm { cx } }\)

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Definitions:

Simplify Expression

The process of reducing an algebraic expression to its simplest form.

Perimeter

The total length of the sides or edges of a two-dimensional shape.

Remaining Piece

The part left over or remaining after a portion has been used, separated, or removed.

Conjugate

In mathematics, refers to a component that is paired with another but differs in some way, commonly used in complex numbers where it involves changing the sign of the imaginary part.