How do you solve the equation $(x-12)^2 = 121$ using the square root property?

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Answer 1 · 2015-08-13T15:33:06

The solutions are
$color(blue)(x=1, x=23$

The square root property involves taking the square root of both the terms on either side of the equation.

Applying the same to the given equation:

$sqrt((x-12)^2)=sqrt(121$

( $sqrt121= color(blue)(+-11$ )

So,
$sqrt((x-12)^2)=color(blue)(+-11$

$(x-12)=color(blue)(+-11$

Solution 1:
$x-12 = +11$
Isolating $x$
$x-12 +color(blue)(12)= +11+color(blue)(12)$
$color(blue)(x=23$

Solution 2:
$x-12 = -11$
Isolating $x$
$x-12 +color(blue)(12)= -11 +color(blue)(12)$
$color(blue)(x=1$

How do you solve the equation (x-12)^2 = 121(x-12)^2 = 121 using the square root property?