SOLUTION: Solve by Completing the Square: 2x^2 - 3x + 1 = 0 This problem is troubling me ! Thank you for your time and help !! I really appreciate it :) Please show work through

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Solve by Completing the Square: 2x^2 - 3x + 1 = 0 This problem is troubling me ! Thank you for your time and help !! I really appreciate it :) Please show work through       Log On


   

Question 631890: Solve by Completing the Square:
2x^2 - 3x + 1 = 0


This problem is troubling me ! Thank you for your time and help !! I really appreciate it :) Please show work through steps so I have a thorough understanding. THank you so much !
Found 2 solutions by ewatrrr, solver91311:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Note: |completing the square 

If y+=+ax%5E2+%2B+bx+%2B+c   ⇒ +y+=+a%28x+-%28-b%2F2a%29%5E2%29+-+a%28-b%2F2a%29%5E2+%2B+c

2x^2 - 3x + 1 = 0  ⇒ 2%28x+-3%2F4%29%5E2+-+2%283%2F4%29%5E2+%2B+1+=+2%28x-+3%2F4%29%5E2+-+1%2F8+=+0+

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Multiply the equation by the reciprocal of the lead coefficient:



Add the opposite of the constant term to both sides:



Divide the coefficient on the first degree term by 2, square the result, then add that result to both sides of the equation:



Factor the perfect square trinomial in the LHS



Take the square root of both sides, remembering to consider both the positive and negative roots



Simplify and specify both roots:





John

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