Use the Method of Completing the Square to Solve the Quadratic

question 33

Multiple Choice

Use the method of completing the square to solve the quadratic equation. $2 x ^ { 2 } + 10 x - 9 = 0$

• A) \(x = \frac { - 10 \pm \sqrt { 43 } } { 2 }\)
• B) \(x = \frac { \pm 10 \pm \sqrt { 43 } } { 2 }\)
• C) \(x = \frac { \pm 5 \pm \sqrt { 43 } } { 2 }\)
• D) \(x = \frac { 10 \pm \sqrt { 43 } } { 2 }\)
• E) \(x = \frac { - 5 \pm \sqrt { 43 } } { 2 }\)

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Definitions:

Target Firm

A company that is the subject of a takeover attempt or an acquisition by another company.

NPV

A method used in capital budgeting to assess the profitability of an investment or project, calculating the difference between the present value of cash inflows and outflows.

Incremental Value

The additional or excess value that an action or decision is expected to generate over the base case or current situation.

Acquiring Firm

A company that purchases or takes over another company through a merger, acquisition, or takeover.