Answer:
The number is 3 and the another number is 9
Step-by-step explanation:
Let
x-------> the number
y-----> another number
we know that
[tex]y=x+6[/tex] ----> equation A
[tex]\sqrt{y}=x[/tex] ----> equation B
Substitute equation A in equation B
[tex]\sqrt{x+6}=x[/tex]
squared both sides
[tex]x+6=x^{2} \\x^{2}-x-6=0[/tex]
Using a graphing tool
solve the quadratic equation
see the attached figure
The solution is x=3
Find the value of y
[tex]y=x+6[/tex] -------> [tex]y=3+6=9[/tex]
