Determine the Constant That Should Be Added to the Binomial $5 x ^ { 2 } - 2 x - 4 = 0$

question 165

Multiple Choice

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
- $5 x ^ { 2 } - 2 x - 4 = 0$

• A) \(\left\{ \frac { 1 - \sqrt { 21 } } { 5 } , \frac { 1 + \sqrt { 21 } } { 5 } \right\}\)
• B) \(\left\{ \frac { 5 - \sqrt { 21 } } { 25 } , \frac { 5 + \sqrt { 21 } } { 25 } \right\}\)
• C) \(\left\{ - 4 , \frac { 22 } { 5 } \right\}\)
• D) \(\left\{ \frac { - 1 - \sqrt { 21 } } { 5 } , \frac { - 1 + \sqrt { 21 } } { 5 } \right\}\)

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Definitions:

Overstock Quantity

Excess inventory that exceeds the demand for a product, often resulting in holding costs and potential markdowns.

Profits

are the financial gains that remain after all expenses, including costs of goods sold, operating expenses, and taxes, have been subtracted from a company's total revenue.

Cost of Understocking

Refers to the lost opportunity and sales a business incurs when it does not have enough inventory to meet demand.

Lost Sale

Occurs when a potential customer does not complete a purchase due to product unavailability or other purchasing barriers.