Question

For what values of x is the expression x^(2)-2x-3 positive ?

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

The expression is positive for all values of x < -1 and for all values of x > 3.

Step-by-step explanation:

Complete the square:

x² - 2x - 3 > 0

<=>  ( x - 1 )² - 4 > 0

<=>  ( x - 1 )² > 4

<=>  | x - 1 | > 2

<=>  x -1 > 2  or  x -1 < -2

<=> x > 3  or  x < -1