if I subtract 20 from my number, then square the result, I get the same answer as if I square my number, then subtract 20 from the result
What is my number and how do you work it out?

Answers

Answer 1

The value of the unknown number is 10.5.

Let the unknown number = x

When 20 is subtracted from the number and the result is squared which is equal to the square of the unknown number minus 20:

(x - 20)² = x² - 20

expand the equation;

x² -  40x  +  400 = x²  - 20

collect similar terms together;

x² - x² - 40x = -20 - 400

-40x = -420

[tex]x = \frac{420}{40}\\\\ x = 10.5[/tex]

Thus, the value of the unknown number is 10.5.

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Answer 2

Answer:

(x - 20)² = x² - 20

expand the equation;

x² -  40x  +  400 = x²  - 20

collect similar terms together;

x² - x² - 40x = -20 - 400

-40x = -420


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Answers

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Explanation:

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Trait approaches to leadership propose that leadership ability arises from distinctive personal characteristics. These personality traits shape personality.

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Explanation:

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Answer:

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I am just a teen who needs some help with homework. :)
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Answers

Answer:

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Explanation:

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Answer:

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Answers

Answer:

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Answers

Answer:

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