Difference between a number and square is 870
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Let the number be X.
So, if difference between the number and square is 870
Then,
X² - X = 870
X² - X - 870 = 0
Also 870 = 30 * 29
So,
X² - 30X + 29X - 870 = 0
X * (X - 30) + 29 * (X - 30) = 0
(X - 30) + (X + 29) = 0
So,
X = 30 or X = -29
So, if difference between the number and square is 870
Then,
X² - X = 870
X² - X - 870 = 0
Also 870 = 30 * 29
So,
X² - 30X + 29X - 870 = 0
X * (X - 30) + 29 * (X - 30) = 0
(X - 30) + (X + 29) = 0
So,
X = 30 or X = -29
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