The square of what number is 6 greater than 5 times the number

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The square of a number is 6 greater than 5 times the number. Let the number be denoted by X.

X^2 = 6 + 5X

=> X^2 - 5X - 6 = 0

=> X^2 - 6X + X - 6 = 0

=> X(X - 6) + 1(X - 6) = 0

=> (X + 1)(X - 6) = 0

=> X = -1 and X = 6

The square of the numbers -1 and 6 is 6 greater than 5 times the number.

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