SOLUTION: does the equation below cross the x-axis twice? {{{2x^2-3x+1}}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: does the equation below cross the x-axis twice? {{{2x^2-3x+1}}}      Log On


   

Question 390614: does the equation below cross the x-axis twice?
2x%5E2-3x%2B1
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

Note: setting = 0  so as it is an  'equation'      

2x%5E2-3x%2B1+=+0

factoring

(2x - 1)(x-1 = 0 Note:SUM of the inner product(-x) and the outer product(-2x) = -3x

 (2x - 1)= 0

      x = 1/2 crosses x axis at Pt(1/2,0)

 (x-1) = 0

      x = 1   crosses x axis at Pt(1,0)