Answer:
Square root property
Explanation:
The given equation is :
![x^2+6=31](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4yvncti4kltak3wvtj8zqmpa0krhyam00o.png)
We need to write the most appropriated technique to solve the above equation.
Subtracting both sides of the above equation by 6 such that,
![x^2+6-6=31-6\\\\x^2=25](https://img.qammunity.org/2021/formulas/mathematics/middle-school/b86ars409yfsb6lymycl5a0749kfjkyv15.png)
Now taking square root on both sides we get :
![x=√(25)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z58s8o8dqjvkw3pd9gf5xb9pe2t1uc03yc.png)
The square root property is used here, such that the value of x is :
![x=\pm 5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bpimhyiawse67oi85aaxvr8evskzz137cr.png)