How do you solve the equation #x^2-19=0#?

1 Answer
Apr 26, 2017

Answer:

See the solution process below:

Explanation:

First, add #color(red)(19)# to each side of the equation to isolate the #x^2# term while keeping the equation balanced:

#x^2 - 19 + color(red)(19) = 0 + color(red)(19)#

#x^2 - 0 = 19#

#x^2 = 19#

Now, take the square root of each side of the equation to solve for #x# while keeping the equation balanced. Remember, the square root of a number produces a positive and negative result:

#sqrt(x^2) = sqrt(19)#

#x = +-4.359# rounded to the nearest thousandth.