SOLUTION: the sum of a whole number and twice the square of the number is 10.Find the number

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Question 1025705: the sum of a whole number and twice the square of the number is 10.Find the number
Answer by ikleyn(52908) About Me  (Show Source):
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the sum of a whole number and twice the square of the number is 10.Find the number
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x+%2B+2x%5E2 = 10,

2x%5E2+%2B+x+-+10 = 0.

Use the quadratic formula to find the roots.

They are x = 2 and x = -2.5.

Only x = 2 satisfies the condition.

Answer. x = 2.