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Hiroshi thinks of a number, subtracts 7, squares the result, and gets 100. What was his original number?

User Heinz
by
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1 Answer

7 votes

Answer:

The number is 17 or (-3)

Explanation:

Let the number be x

Subtracts 7,

x - 7

squares the result, and gets 100

(x - 7)² = 100

x² - 14x + 49 = 100

x² - 14x - 51 = 0

x² + 3x - 17x - 51 = 0

x(x + 3) - 17(x + 3) = 0

(x - 17) (x + 3) = 0

x = 17 or (-3)

Here,

We assumed Hiroshi's number would be x,

So,

17 - 7 = (10)² = 100

(-3) - 7 = (-10)² = 100

Thus, Hiroshi's number is 17 or (-3)

User Jataro
by
4.0k points