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The square of 9 less than a number is 3 less than the number. What is the number?

0
-12 or 7
-12 or -7
-7 or 12
7 or 12

User Ted
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2 Answers

5 votes

Answer: D. 7 or 12

Step-by-step explanation: on edgenuity 2020 :))

User Steve Willard
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2 votes
Your answer is the last option, 7 or 12.

We can write this question as an equation, if we call the number ‘x’:
(x - 9)² = x - 3

Then we can expand the bracket and solve for x:
x² - 18x + 81 = x - 3
x² - 19x + 84 = 0
(x - 7)(x - 12) = 0
x = 7 or x = 12

The factorisation is a bit difficult so you could also use the quadratic formula to get to the same answer.

I hope this helps! Let me know if you have any questions :)
User Leonard Garvey
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