Determine the solution set of x2 - 80 = 0.

{± }
{±4 }
{±2 }

This is the shorthand way of writing

=====================================================

Work Shown:

The plus or minus is needed because squaring a negative leads to a positive. As another example, x^2 = 25 has x = 5 and x = -5 as the two solutions. Note that x^2 = (-5)^2 = (-5)*(-5) = 25.

Also, note that the 80 was broken up into 16*5. This was done to simplify the square root. We pull out the largest factor that's a perfect square.

So that's how we get to the solution set . The curly braces tell the reader that they are dealing with a set.

answer: ok

step-by-step explanation: