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The square of a number plus the number is 6. find the​ number(s)

User Sam Dutton
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2 Answers

3 votes
Let the no be x=x**2=2**2=4 plus the no,4+2=6
User Pixelknitter
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8.3k points
3 votes

Answer:

2 or - 3

Explanation:

Here, s represents the unknown number,

Since, square of s =
s^2

So, the square of s plus s =
s^2+s

According to the question,


s^2+s=6


s^2+s-6=0

By middle term splitting,


s^2+3s-2s-6=0


s(s+3)-2(s+3)=0


(s-2)(s+3)=0


\implies s=2\text{ or }-3

Hence, the number would be 2 or -3.

User Mdunisch
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8.2k points

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