The sum of a whole number and twice the square of the number is 10. Find the number?
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Answer:
Let the number be x.
From the given condition,
2x+3(x+1)
2
=83
3x
2
+8x+3=83
3x
2
+8x−80=0
3x
2
−12x+20x−80=0
3x(x−4)+20(x−4)+0
(3x+20)(x−4)=0
Since it is an integer,
x=4.
hint
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