How do you solve this equation using the square root property $(x + 3)^2 = 49$ ?

Question

4641 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-08-13T15:35:10

The solutions are
$color(blue)(x=4, x=-10$

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:

$sqrt((x+3)^2)=sqrt(49$

( $sqrt49= color(blue)(+-7$ )

So,
$sqrt((x+3)^2)=color(blue)(+-7$

$(x+3)=color(blue)(+-7$

Solution 1:
$x+3 = +7$
Isolating $x$
$x+3 -color(blue)(3)= +7-color(blue)(3)$
$color(blue)(x=4$

Solution 2:
$x+3 = -7$
Isolating $x$
$x+3 -color(blue)(3)= -7-color(blue)(3)$
$color(blue)(x=-10$

How do you solve this equation using the square root property (x + 3)^2 = 49(x + 3)^2 = 49?