if 9 is added to three times a positive number the result is equal to twice the square of the number.find the number?
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4
Answer: 3
Step-by-step explanation:
Let m be the number
Then 3m+9=2m^2
2m^2 - 3m - 9 = 0
2m^2 - 6m + 3m - 9 = 0
2m(m-3) + 3(m-3)=0
(m-3)(2m+3)=0
m-3=0 or 2m+3=0
So m=3 as m is a positive number
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