## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set - Page 767: 99

#### Answer

There is a demand for 6 pair of scissors.

#### Work Step by Step

The demand equation is as follows: $p=-x^2+47$ where, p = unit price and x = demand The price is given as 11 dollars per pair. Therefore, the equations becomes- $11=-x^2+47$ Step 1: Subtract 47 from both sides of the equation $11-47=-x^2$ $-36=-x^2$ Step 2: Divide both sides by $-1$ $36=x^2$ Step 3: use the square root property: $±\sqrt 36=x$ $x= ±6$ Since the demand cannot be negative, there is a demand for 6 pair of scissors.

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