BoriabelleriDell
BoriabelleriDell BoriabelleriDell
  • 16-09-2016
  • Mathematics
contestada

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

Respuesta :

Yahayajamesmedu Yahayajamesmedu
  • 16-09-2016
Let the no be x=x**2=2**2=4 plus the no,4+2=6
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slicergiza slicergiza
  • 23-09-2019

Answer:

2 or - 3

Step-by-step explanation:

Here, s represents the unknown number,

Since, square of s = [tex]s^2[/tex]

So, the square of s plus s = [tex]s^2+s[/tex]

According to the question,

[tex]s^2+s=6[/tex]

[tex]s^2+s-6=0[/tex]

By middle term splitting,

[tex]s^2+3s-2s-6=0[/tex]

[tex]s(s+3)-2(s+3)=0[/tex]

[tex](s-2)(s+3)=0[/tex]

[tex]\implies s=2\text{ or }-3[/tex]

Hence, the number would be 2 or -3.

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