Question 110036
x^2-2x-3>0
(x-3)(x+1)>0
x>3, x>-1
{{{graph(500,500,-10,10,-10,10,x^2-2x-3)}}}
X(-infinity,-1)U(3,infinity)
.
x^2-2/3x+c
to find c in all problems of this type, divide b by 2 and square the result.
-2/3*1/2=-1/3
(-1/3)^2=1/9 Ans.
Check:
x^2-2/3x+1/9=(x-1/3)^2
.
Ed