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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
<em>expand the equation;</em>
x² - 40x + 400 = x² - 20
<em>collect similar terms together;</em>
x² - x² - 40x = -20 - 400
-40x = -420
Thus, the value of the unknown number is 10.5.
Learn more about word problem here: brainly.com/question/18336356