Solve the Equation $\frac { 5 } { x + 6 } + \frac { 2 } { x ^ { 2 } + 4 x - 12 } = - \frac { 4 } { x - 2 }$

question 13

Multiple Choice

Solve the equation. Check for extraneous solutions. $\frac { 5 } { x + 6 } + \frac { 2 } { x ^ { 2 } + 4 x - 12 } = - \frac { 4 } { x - 2 }$

• A) \(x = - \frac { 8 } { 3 }\)
• B) \(x = - \frac { 16 } { 9 }\)
• C) \(x = - \frac { 4 } { 3 }\)
• D) x=-12
• E) x=-16

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Definitions:

Time Value of Money

The idea that having money in the present is more valuable than having the same sum in the future because of what it could potentially earn.

Break-Even Time

The period it takes for a business or project to recover its costs, reaching a financial break-even point.

Payback Period

The payback period is the time it takes for an investment to generate cash flows sufficient to recover its initial cost.

Net Present Value

A calculation that compares the present value of cash inflows to the present value of cash outflows over a period of time, used to assess the profitability of an investment.