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

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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:

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

$x + 3 = 25$ $x + 3 = 25$

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

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

$x + 0 = 22$ $x + 0 = 22$

$x = 22$ $x = 22$

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