Solve the Equation by Completing the Square $$2 x ^ { 2 } + 7 x + 3 = 0$$

question 327

Multiple Choice

Solve the equation by completing the square.
- $$2 x ^ { 2 } + 7 x + 3 = 0$$

• A) \(\left\{ - 3 , - \frac { 1 } { 2 } \right\}\)
• B) \(\left\{ - 2 \pm \frac { \sqrt { 3 } } { 2 } \mathrm { i } \right\}\)
• C) \(\{ 3 , - 1 \}\)
• D) \(\left\{ \frac { - 7 \pm 2 \sqrt { 6 } } { 4 } \right\}\)

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Definitions:

Times Interest

A metric that evaluates a firm's capability to handle its debt responsibilities using its present earnings.

Equity Multiplier

A financial ratio that measures a company's use of debt financing by comparing total assets to shareholders' equity.

Working Capital

The difference between a company's current assets and current liabilities, indicating the available short-term assets to cover short-term debts.

Book Value

The value of an asset as recorded on the balance sheet, calculated as the cost of an asset minus accumulated depreciation.