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
[tex] \frac{7x^{2}}{7} = \frac{7}{7} \\\\
x^{2} = 1 [/tex]
Step 3 :- Taking square root on both sides
[tex] \sqrt{x^{2}} = \sqrt{1} \\\\
x = -1 \;\;OR\;\; x=1 [/tex]
So, x = -1 or x = 1 is the final answer.
