the square of a number plus the number is 6. find the number(s)
Answer:
2 or - 3
Step-by-step 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.