How do you solve the equation: (x - 9)^2 = 1?

Apr 3, 2018

$x = 10$

Explanation:

=${\left(x - 9\right)}^{2} = 1$

Taking square root on both sides

=$x - 9 = 1$

=$x = 10$

Hope it helps!

Apr 3, 2018

$x = 8 , 10$

Explanation:

Given: ${\left(x - 9\right)}^{2} = 1$

Square root both sides.

$x - 9 = \sqrt{1}$

$x - 9 = \pm 1$

We got:

${x}_{1} - 9 = 1 , {x}_{2} - 9 = - 1$

$\therefore {x}_{1} = 1 + 9 , {x}_{2} = - 1 + 9$

${x}_{1} = 10 , {x}_{2} = 8$

$\therefore x \setminus \in \left\{8 , 10\right\}$