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Answer:
x= 3 and -1
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 2x - 3[/tex]
add three to both sides
[tex]3 = {x}^{2} - 2x[/tex]
figure out what half of -2 is
half of -2 is (-1) than square that (-1)^2=1
the 1 is what you add to both sides
[tex]3 + 1 = {x}^{2} - 2x + 1 \\ 4 = {(x - 1)}^{2} [/tex]
than take the square root of both sides
[tex] \sqrt{4} = \sqrt{ {(x - 1)}^{2} } [/tex]
this than equals
+2=x-1
than to find the x values
2=x-1
+1 +1
3=x
-2=x-1
+1 +1
-1=x