SOLUTION: What would the graph of the quadratic function with zeros 1/2 plus or minus sqrt7/3 look like ?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What would the graph of the quadratic function with zeros 1/2 plus or minus sqrt7/3 look like ?      Log On


   

Question 125441: What would the graph of the quadratic function with zeros 1/2 plus or minus sqrt7/3 look like ?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What would the graph of the quadratic function with zeros 1/2 plus or minus sqrt7/3 look like ?
:
In order to graph it, you need the equation, find that:
x = %281%2F2%29%2B-sqrt%287%2F3%29
:
x - 1%2F2 = +/-sqrt%287%2F3%29; subtract 1%2F2 from both sides
:
(x-1%2F2)^2 = 7%2F3; squared both sides
:
x^2 - 1x +1%2F4 = 7%2F3; FOILed
:
x^2 - 1x +1%2F4 - 7%2F3 = 0; Subtracted 7%2F3 from both sides
:
x^2 - 1x +3%2F12 - 28%2F12 = 0; use a common denominator
:
x^2 - 1x - 25%2F12 = 0
:
Plot this equation from x = -2 to x = +3, it should look like this:
+graph%28+300%2C+200%2C+-4%2C+6%2C+-6%2C+6%2C+x%5E2-x-%2825%2F12%29%29+
:
Could you follow this OK?