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

1 Answer
smendyka
Apr 26, 2017

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.

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