How do you solve the equation $x^2-3=a$ ?

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Answer 1 · 2017-11-07T13:48:40

See a solution process below:

First, add $color(red)(3)$ to each side of the equation to isolate the $x$ term while keeping the equation balanced:

$x^2 - 3 + color(red)(3) = a + color(red)(3)$

$x^2 - 0 = a + 3$

$x^2 = a + 3$

Now, take the square root of each side of the equation to solve for $x$ while keeping the equation balanced:

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

$x = +-sqrt(a + 3)$

How do you solve the equation x^2-3=ax^2-3=a?