How do you solve this equation using the square root property $(x + 5)^2 = 36$ ?

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Answer 1 · 2015-08-13T15:22:45

The solutions are
$color(blue)(x=1, x=-11$

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:

$sqrt((x+5)^2)=sqrt(36$

( $sqrt36= color(blue)(+-6$ )

So,
$sqrt((x+5)^2)=color(blue)(+-6$

$(x+5)=color(blue)(+-6$

Solution 1:
$x+5 = +6$
Isolating $x$
$x+5 -color(blue)(5)= +6-color(blue)(5)$
$color(blue)(x=1$

Solution 2:
$x+5 = -6$
Isolating $x$
$x+5 -color(blue)(5)= -6-color(blue)(5)$
$color(blue)(x=-11$

How do you solve this equation using the square root property (x + 5)^2 = 36(x + 5)^2 = 36?