SOLUTION: 7 times a number is 30 less than that same number squared. What is one possible value of the number?

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Question 898150: 7 times a number is 30 less than that same number squared. What is one possible value of the number?
Found 2 solutions by stanbon, dkppathak:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
7 times a number is 30 less than that same number squared. What is one possible value of the number?
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7x = x^2-30
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x^2 - 7x -30 = 0
Factor to get:
(x-10)(x+3) = 0
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Possible answers:: x = 10 or x = -3
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Cheers,
Stan H.
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Answer by dkppathak(439)   (Show Source): You can put this solution on YOUR website!
7 times a number is 30 less than that same number squared. What is one possible value of the number?
Solution
let number is X as per given conditions

7X= X^2-30
X^2-7X-30=0
X^2-10X+3X-30=0
(x-10)(X+3)=0
X=10 or X=-3 neglecting -3
than X=10
Answer 10

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