Hi,

Note: |completing the square 

If    ⇒ 

2x^2 - 3x + 1 = 0  ⇒  

 

Answer by solver91311(24713)   (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



My calculator said it, I believe it, that settles it



 

RELATED QUESTIONS

I really need help with these last three problems and then I am done with the course!... (answered by stanbon,josmiceli,checkley77)

Please help, it asks to solve by completing the square. the problem is: 
2x^-3x+1=0, the  (answered by MathLover1)

I really don't know about this problem. I'm confused. 
I have to solve this problem by... (answered by ewatrrr)

Hello,
Can someone help me with this "Completing the Square" problem?

I know there's... (answered by josmiceli)

Solving Quadraticc Equations by Completing the Square

2x^2 - x + 6 = 0

Thank you... (answered by jim_thompson5910)

can you please help me solve by completing the square of:... (answered by Mathtut)

can you please help me solve by completing the square of ((( 2x^2-3x+1=0... (answered by solver91311)

Please!! I need help to solve by completing the square:

2x^2 -9x + 4 = 0

and 
4... (answered by stanbon)

I need help with this problem please
solve by completing the square
x^2-9/2x-1/2=0... (answered by Alan3354)