Solve the Equation $10 - \frac { 60 } { 4 - x } = \frac { 10 x + 20 } { x ^ { 2 } - 16 }$

question 112

Multiple Choice

Solve the equation. Check for extraneous solutions. $10 - \frac { 60 } { 4 - x } = \frac { 10 x + 20 } { x ^ { 2 } - 16 }$

• A) \(x = - 30 ; x = 20\)
• B) \(x = - 3 ; x = - 2\)
• C) \(x = 7 ; x = 5\)
• D) \(x = 3 ; x = 2\)
• E) \(x = - 7 ; x = - 5\)

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Definitions:

Reaction Rate

The speed at which reactants are converted into products in a chemical reaction.

Reaction Measurement

The process of quantifying the progress, rate, or yield of a chemical reaction using various methods like spectroscopy, calorimetry, or chromatography.

H2S

Hydrogen sulfide, a toxic, colorless gas with a characteristic odor of rotten eggs, widely found in nature and industrial processes.

Cl2

The chemical symbol for chlorine gas, a diatomic molecule consisting of two chlorine atoms, used in water purification and as a bleaching agent.