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If a number is decreased by its square the result is 2/9. find the number
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If a number is decreased by its square the result is 2/9. find the number

User Shaheeda
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1 Answer

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Let x be the number.
x-x²=2/9, so 9x-9x²=2 or 9x²-9x+2=0=(3x-2)(3x-1). Therefore x=2/3 or 1/3.
Check: 2/3-4/9=6/9-4/9=2/9 and 1/3-1/9=3/9-1/9=2/9.
User Cauchy
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