SOLUTION: please help me solve these equations. On a graph f(x) = -x^ + 3x - 2 using the graph what are the values of x for which f(x) > 0 using the graphs of f(x) = -x^ + 3x - 2 a

Algebra ->  Graphs -> SOLUTION: please help me solve these equations. On a graph f(x) = -x^ + 3x - 2 using the graph what are the values of x for which f(x) > 0 using the graphs of f(x) = -x^ + 3x - 2 a      Log On


   



Question 66778: please help me solve these equations.
On a graph f(x) = -x^ + 3x - 2
using the graph what are the values of x for which f(x) > 0
using the graphs of f(x) = -x^ + 3x - 2 and g(x) = -3 find the roots of theequation -x^ + 3x +1 = 0

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) > 0
-x^2 + 3x - 2 > 0
x^2 - 3x + 2 < 0
(x - 2)(x - 1) < 0
Roots: 2 and 1
<----------(1)----------(2)---------->
Test:
<----------(1)==========(2)---------->
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-x%5E2+%2B+3x+-+2%2C0%29
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-x^2 + 3x + 1 = 0
x^2 - 3x - 1 = 0
Basic Quadratic Formula:
a = 1 ... b = -3 ... c = -1
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+