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

Question

asked Dec 9, 2017 79.9k views

2 Answers

Mdunisch · Answer 1 · 2017-12-16T12:37:17+0000

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.