what are the solutions to this equation (x - 7)^2 = 9

Answer 1

To solve the equation $(x-7{)}^2=9$, we can take the square root of both sides. Remember to consider both the positive and negative square roots:

1. Take the square root of both sides: $$x-7=3\text{or}x-7=-3$$

2. Solve each equation separately:

For $x-7=3$: $$x=3+7=10$$

For $x-7=-3$: $$x=-3+7=4$$

So the solutions to the equation $(x-7{)}^2=9$ are: $$x=10\text{and}x=4$$