Answer:
Square root property
Step-by-step explanation:
The given equation is :
[tex]x^2+6=31[/tex]
We need to write the most appropriated technique to solve the above equation.
Subtracting both sides of the above equation by 6 such that,
[tex]x^2+6-6=31-6\\\\x^2=25[/tex]
Now taking square root on both sides we get :
[tex]x=\sqrt{25}[/tex]
The square root property is used here, such that the value of x is :
[tex]x=\pm 5[/tex]