Chapter 0.3, Problem 47E

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7th Edition

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ISBN: 9781337291248

Textbook Problem

In Exercises 31–48, *(a)**factor the given expression, and* *(b)**set the expression equal to zero and solve for the unknown (x in the odd-numbered exercises and y in the even-numbered exercises.)*

**(a)**

To determine

**To calculate:** The factors of the expression

Explanation

**Given information:**

The expression,

**Formula used:**

Steps to calculate the factors of quadratic equation

Step1: Factor

Step2: Factor *c* as

Step 3: Check if

If yes, then

Step 4: If not, try other factorization of *c* and repeat all the steps.

The distributive law,

Where, *a, b* and *c* are any real numbers.

Difference of two squares,

Where, *a* and *b* are the real numbers.

**Calculation:**

Consider the expression,

Rewrite the above expression as,

Substitute

Factor of

The factors of 4 are

Consider the factors

**(b)**

To determine

**To calculate:** The value of *x* when the expression

Sect-0.1 P-1ESect-0.1 P-2ESect-0.1 P-3ESect-0.1 P-4ESect-0.1 P-5ESect-0.1 P-6ESect-0.1 P-7ESect-0.1 P-8ESect-0.1 P-9ESect-0.1 P-10E

Sect-0.1 P-11ESect-0.1 P-12ESect-0.1 P-13ESect-0.1 P-14ESect-0.1 P-15ESect-0.1 P-16ESect-0.1 P-17ESect-0.1 P-18ESect-0.1 P-19ESect-0.1 P-20ESect-0.1 P-21ESect-0.1 P-22ESect-0.1 P-23ESect-0.1 P-24ESect-0.1 P-25ESect-0.1 P-26ESect-0.1 P-27ESect-0.1 P-28ESect-0.1 P-29ESect-0.1 P-30ESect-0.1 P-31ESect-0.1 P-32ESect-0.1 P-33ESect-0.1 P-34ESect-0.1 P-35ESect-0.1 P-36ESect-0.1 P-37ESect-0.1 P-38ESect-0.1 P-39ESect-0.1 P-40ESect-0.1 P-41ESect-0.1 P-42ESect-0.1 P-43ESect-0.1 P-44ESect-0.1 P-45ESect-0.1 P-46ESect-0.1 P-47ESect-0.1 P-48ESect-0.1 P-49ESect-0.1 P-50ESect-0.2 P-1ESect-0.2 P-2ESect-0.2 P-3ESect-0.2 P-4ESect-0.2 P-5ESect-0.2 P-6ESect-0.2 P-7ESect-0.2 P-8ESect-0.2 P-9ESect-0.2 P-10ESect-0.2 P-11ESect-0.2 P-12ESect-0.2 P-13ESect-0.2 P-14ESect-0.2 P-15ESect-0.2 P-16ESect-0.2 P-17ESect-0.2 P-18ESect-0.2 P-19ESect-0.2 P-20ESect-0.2 P-21ESect-0.2 P-22ESect-0.2 P-23ESect-0.2 P-24ESect-0.2 P-25ESect-0.2 P-26ESect-0.2 P-27ESect-0.2 P-28ESect-0.2 P-29ESect-0.2 P-30ESect-0.2 P-31ESect-0.2 P-32ESect-0.2 P-33ESect-0.2 P-34ESect-0.2 P-35ESect-0.2 P-36ESect-0.2 P-37ESect-0.2 P-38ESect-0.2 P-39ESect-0.2 P-40ESect-0.2 P-41ESect-0.2 P-42ESect-0.2 P-43ESect-0.2 P-44ESect-0.2 P-45ESect-0.2 P-46ESect-0.2 P-47ESect-0.2 P-48ESect-0.2 P-49ESect-0.2 P-50ESect-0.2 P-51ESect-0.2 P-52ESect-0.2 P-53ESect-0.2 P-54ESect-0.2 P-55ESect-0.2 P-56ESect-0.2 P-57ESect-0.2 P-58ESect-0.2 P-59ESect-0.2 P-60ESect-0.2 P-61ESect-0.2 P-62ESect-0.2 P-63ESect-0.2 P-64ESect-0.2 P-65ESect-0.2 P-66ESect-0.2 P-67ESect-0.2 P-68ESect-0.2 P-69ESect-0.2 P-70ESect-0.2 P-71ESect-0.2 P-72ESect-0.2 P-73ESect-0.2 P-74ESect-0.2 P-75ESect-0.2 P-76ESect-0.2 P-77ESect-0.2 P-78ESect-0.2 P-79ESect-0.2 P-80ESect-0.2 P-81ESect-0.2 P-82ESect-0.2 P-83ESect-0.2 P-84ESect-0.2 P-85ESect-0.2 P-86ESect-0.2 P-87ESect-0.2 P-88ESect-0.2 P-89ESect-0.2 P-90ESect-0.2 P-91ESect-0.2 P-92ESect-0.2 P-93ESect-0.2 P-94ESect-0.2 P-95ESect-0.2 P-96ESect-0.2 P-97ESect-0.2 P-98ESect-0.2 P-99ESect-0.2 P-100ESect-0.2 P-101ESect-0.2 P-102ESect-0.2 P-103ESect-0.2 P-104ESect-0.2 P-105ESect-0.2 P-106ESect-0.2 P-107ESect-0.2 P-108ESect-0.2 P-109ESect-0.2 P-110ESect-0.2 P-111ESect-0.2 P-112ESect-0.2 P-113ESect-0.2 P-114ESect-0.2 P-115ESect-0.2 P-116ESect-0.2 P-117ESect-0.2 P-118ESect-0.2 P-119ESect-0.2 P-120ESect-0.3 P-1ESect-0.3 P-2ESect-0.3 P-3ESect-0.3 P-4ESect-0.3 P-5ESect-0.3 P-6ESect-0.3 P-7ESect-0.3 P-8ESect-0.3 P-9ESect-0.3 P-10ESect-0.3 P-11ESect-0.3 P-12ESect-0.3 P-13ESect-0.3 P-14ESect-0.3 P-15ESect-0.3 P-16ESect-0.3 P-17ESect-0.3 P-18ESect-0.3 P-19ESect-0.3 P-20ESect-0.3 P-21ESect-0.3 P-22ESect-0.3 P-23ESect-0.3 P-24ESect-0.3 P-25ESect-0.3 P-26ESect-0.3 P-27ESect-0.3 P-28ESect-0.3 P-29ESect-0.3 P-30ESect-0.3 P-31ESect-0.3 P-32ESect-0.3 P-33ESect-0.3 P-34ESect-0.3 P-35ESect-0.3 P-36ESect-0.3 P-37ESect-0.3 P-38ESect-0.3 P-39ESect-0.3 P-40ESect-0.3 P-41ESect-0.3 P-42ESect-0.3 P-43ESect-0.3 P-44ESect-0.3 P-45ESect-0.3 P-46ESect-0.3 P-47ESect-0.3 P-48ESect-0.4 P-1ESect-0.4 P-2ESect-0.4 P-3ESect-0.4 P-4ESect-0.4 P-5ESect-0.4 P-6ESect-0.4 P-7ESect-0.4 P-8ESect-0.4 P-9ESect-0.4 P-10ESect-0.4 P-11ESect-0.4 P-12ESect-0.4 P-13ESect-0.4 P-14ESect-0.4 P-15ESect-0.4 P-16ESect-0.5 P-1ESect-0.5 P-2ESect-0.5 P-3ESect-0.5 P-4ESect-0.5 P-5ESect-0.5 P-6ESect-0.5 P-7ESect-0.5 P-8ESect-0.5 P-9ESect-0.5 P-10ESect-0.5 P-11ESect-0.5 P-12ESect-0.5 P-13ESect-0.5 P-14ESect-0.5 P-15ESect-0.5 P-16ESect-0.5 P-17ESect-0.5 P-18ESect-0.5 P-19ESect-0.5 P-20ESect-0.5 P-21ESect-0.5 P-22ESect-0.5 P-23ESect-0.5 P-24ESect-0.5 P-25ESect-0.5 P-26ESect-0.5 P-27ESect-0.5 P-28ESect-0.5 P-29ESect-0.5 P-30ESect-0.5 P-31ESect-0.5 P-32ESect-0.5 P-33ESect-0.5 P-34ESect-0.5 P-35ESect-0.5 P-36ESect-0.5 P-37ESect-0.5 P-38ESect-0.5 P-39ESect-0.5 P-40ESect-0.5 P-41ESect-0.5 P-42ESect-0.5 P-43ESect-0.5 P-44ESect-0.6 P-1ESect-0.6 P-2ESect-0.6 P-3ESect-0.6 P-4ESect-0.6 P-5ESect-0.6 P-6ESect-0.6 P-7ESect-0.6 P-8ESect-0.6 P-9ESect-0.6 P-10ESect-0.6 P-11ESect-0.6 P-12ESect-0.6 P-13ESect-0.6 P-14ESect-0.6 P-15ESect-0.6 P-16ESect-0.6 P-17ESect-0.6 P-18ESect-0.6 P-19ESect-0.6 P-20ESect-0.6 P-21ESect-0.6 P-22ESect-0.6 P-23ESect-0.6 P-24ESect-0.6 P-25ESect-0.6 P-26ESect-0.7 P-1ESect-0.7 P-2ESect-0.7 P-3ESect-0.7 P-4ESect-0.7 P-5ESect-0.7 P-6ESect-0.7 P-7ESect-0.7 P-8ESect-0.7 P-9ESect-0.7 P-10ESect-0.7 P-11ESect-0.7 P-12ESect-0.7 P-13ESect-0.7 P-14ESect-0.7 P-15ESect-0.7 P-16ESect-0.7 P-17ESect-0.7 P-18ESect-0.7 P-19ESect-0.7 P-20ESect-0.8 P-1ESect-0.8 P-2ESect-0.8 P-3ESect-0.8 P-4ESect-0.8 P-5ESect-0.8 P-6ESect-0.8 P-7ESect-0.8 P-8ESect-0.8 P-9ESect-0.8 P-10ESect-0.8 P-11ESect-0.8 P-12ESect-0.8 P-13ESect-0.8 P-14ESect-0.8 P-15ESect-0.8 P-16ESect-0.8 P-17ESect-0.8 P-18ESect-0.8 P-19ESect-0.8 P-20ESect-0.8 P-21ESect-0.8 P-22ESect-0.8 P-23ESect-0.8 P-24ESect-0.8 P-25ESect-0.8 P-26ESect-0.8 P-27ESect-0.8 P-28ESect-0.8 P-29ESect-0.8 P-30ESect-0.8 P-31ESect-0.8 P-32ESect-0.8 P-33ESect-0.8 P-34ESect-0.8 P-35ESect-0.8 P-36ESect-0.8 P-37ESect-0.8 P-38ESect-0.8 P-39ESect-0.8 P-40ESect-0.8 P-41ESect-0.8 P-42ESect-0.8 P-43ESect-0.8 P-44ESect-0.8 P-45ESect-0.8 P-46ESect-0.8 P-47ESect-0.8 P-48ESect-0.8 P-49ESect-0.8 P-50ESect-0.8 P-51ESect-0.8 P-52ESect-0.8 P-53ESect-0.8 P-54ESect-0.8 P-55ESect-0.8 P-56E

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