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3 years ago

Express x2- 8x + 5 in the form (x -a)2-b where a and b are integers.

Mathematics

2 answers:

alukav5142 [94]3 years ago

7 0

Answer:

$(x-4)^{2}-11$

Step-by-step explanation:

x² - 8x + 5 = x² - 8x + (16 - 16) + 5 {we just added 16 and subtractEd it }

= (x - 4)² - 16 + 5 {<u><em>Reason </em></u>: x² - 8x + 16 = (x - 4)² }

= (x - 4)² - 11

bija089 [108]3 years ago

5 0

Answer:

(x - 4)² - 11

Step-by-step explanation:

Given

x² - 8x + 5

To obtain the required form use the method of completing the square.

add/subtract ( half the coefficient of the x- term)² to x² - 8x

= x² + 2(- 4)x + 16 - 16 + 5

= (x - 4)² - 11

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3 years ago

1. Suppose you have 62 toothpicks and a bunch of rubber bands.

ehidna [41]

Base-ten units are used to represent numbers in blocks

<h3>How to represent the bundle of toothpicks</h3>

The bundle is given as:

Bundle = 62

Rewrite as:

Bundle = 60 + 2

Express 60 as a product

Bundle = 6 * 10 + 2

See attachment for the drawing that represents the bundle

<h3>Ways to interpret the 6 in 62</h3>

The 6 in 62 can be interpreted in the following ways

Way 1: 6 tens
Way 2: 60