Solve the Equation $$3 = 4 + \sqrt { 4 x + 67 }$$

question 10

Multiple Choice

Solve the equation. Write all apparent solutions. Which of them are extraneous? $$3 = 4 + \sqrt { 4 x + 67 }$$

• A) \(- \frac { 33 } { 2 }\) is extraneous solution, no solution
• B) \(- \frac { 35 } { 2 }\) is extraneous solution, \(- \frac { 33 } { 2 }\)
• C) \(- \frac { 35 } { 2 }\) is extraneous solution, no solution
• D) \(- \frac { 33 } { 2 }\)
• E) \(- \frac { 35 } { 2 }\)

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Definitions:

Original Investment

The initial amount of money used to purchase an asset, start a business venture, or invest in a financial instrument.

Operating Business

An active entity engaged in commercial, industrial, or professional activities to generate profit.

Gross Profit

Gross Profit is the financial gain obtained after deducting the cost of goods sold from the total revenue, indicating the efficiency of a company's core business activities.

Net Profit

The amount of money that remains from revenues after all operating expenses, taxes, and interest have been subtracted.