How do you solve the equation $sqrt(x+3)=-5$ ?

Question

1747 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-24T00:14:28

See the entire solution process below:

First, square each side of the equation to eliminate the radical while keeping the equation balanced:

$(sqrt(x + 3))^2 = -5^2$

$x + 3 = 25$

Now, subtract $color(red)(3)$ from each side of the equation to solve for $x$ :

$x + 3 - color(red)(3) = 25 - color(red)(3)$

$x + 0 = 22$

$x = 22$

How do you solve the equation sqrt(x+3)=-5sqrt(x+3)=-5?