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horrorfan [7]
2 years ago
12

Define logic and explain how it is used in math.

Mathematics
2 answers:
ipn [44]2 years ago
7 0
Logic is used in math to to prove a mathematical theory and/or fact.
mamaluj [8]2 years ago
3 0

Answer:

Logic is the study of how to critically think about propositions or statements that are either true or false.

Logic is very useful in the world of mathematics. Mathematicians use logic all the time to prove theorems and other mathematical facts. Everything we know about math right now is based off of these logical proofs. Without these, we wouldn't have our formulas, like the wonderful quadratic formula or the very useful Pythagorean Theorem.

Using logic in math is about mixing the specific language used in logic with the specific symbols used in math.

Step-by-step explanation:

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If using the method of completing the square to solve the quadratic equation x^2-5x-18=0x 2 −5x−18=0, which number would have to
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Answer:

25/4 will have to be added to "complete the square"

Step-by-step explanation:

x² - 5x - 18 = 0

x² - 5x = 18

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(5/2)² = 25/4

Add 25/4 to both sides to complete the square

x² - 5x + 25/4 = 18 + 25/4

x² - 5x + 25/4 = 18(4/4) + 25/4

x² - 5x + 25/4 = 72/4 + 25/4

x² - 5x + 25/4 = (72+25)/4

x² - 5x + 25/4 = 97/4

(x - 5/2)² = 97/4

Find the square root of both sides

√(x - 5/2)² = ±√97/4

x - 5/2 = √97/2

x = √97/2 + 5/2 or x = -√97/2 + 5/2

x = 7.42443 or -2.42443

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