Question 624642
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Hi, there--

The Problem:
Solve for x.
{{{19-sqrt(x+1)=0}}}

Solution:
{{{19-sqrt(x+1)=0}}}

We want to isolate the variable x. Subtract 19 from both sides of the equation.
{{{-sqrt(x+1) =-19}}}

Multiply both sides of the equation by -1. 
{{{sqrt(x+1)=19}}}

Square both sides of the equation. 
{{{(sqrt(x+1))^2=19^2}}}

Squaring undoes the square root operation and we have x+1 on the left hand side. On the right, 
19 squared is 361.
{{{x+1=361}}}

Subtract 1 from both sides of the equation.
{{{x=360}}}

Check your work by substituting 360 for x in the original equation.
{{{19-sqrt(x+1)=0}}}
{{{19-sqrt(360+1)=0}}}
{{{19-sqrt(361)=0}}}
{{{19-19=0}}}
{{{0=0}}}
True!

That's it. Please email me if you have questions or comments about the solution. I'm happy to
explain further and I'd appreciate the feedback.

Ms.Figgy
math.in.the.vortex@gmail.com
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