Given the equation is 7x² + 6 = 13.
Solving the quadratic equation using square roots :-
7x² + 6 = 13
Step 1 :- subtracting 6 from both sides
7x² + 6 - 6 = 13 - 6
7x² = 7
Step 2 :- Dividing by 7 on both sides

Step 3 :- Taking square root on both sides

So, x = -1 or x = 1 is the final answer.