Q3. The sum of a whole number and twice its square is 36. Find the number.
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x + 2x^2 = 36
2x^2 + x - 36 = 0
(2x + 9)(x - 4 ) = 0
2x+9 results in negative measures
x - 4 = 0 --> x = 4
4 + 2(4^2) = 4 + 2(16) = 4 +32 = 36
Answered by
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Step-by-step explanation:
let the whole number be x.
According to question,
x + 2x^2=36
(x-4) (2x+9)=0
x = 4 or -9/2
Since a whole number cannot be negative,
therefore, the number is 4.
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