SOLUTION: How do I find the solution to this equation by completing the square: 2x^2-5x=7 Thanks for any help.

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Question 1047286: How do I find the solution to this equation by completing the square:
2x^2-5x=7
Thanks for any help.
Found 3 solutions by MathLover1, josgarithmetic, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


....to complete square, write as
....group
...factor out and


so, the solution to this will be:
if ->->->
if ->




Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
Factorize the 2 on the left member.



The term to add to BOTH members to Complete The Square is .

CAREFUL! You do not simply add that to both members. WHY? Because you factored a 2 from the left member, but not the right member. You will not simply add (5/4)^2 to both sides. You add this term INSIDE the parentheses of the left member, .... and then you add to the right member. THIS is the kind of thing you need to watch and understand to make progress.

That step is this:

Be sure you understand.

You continue further steps toward solving x.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
How do I find the solution to this equation by completing the square:
2x^2-5x=7
Thanks for any help. 


 ------- DIVIDING each side by 2 to make the LEADING coefficient, 1



 ------ Taking , SQUARING it, and ADDING this result to EACH SIDE



 ------ Changing  to denominator, 16



 ------- Taking square root of both sides





        OR       

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