SOLUTION: solve the quadratic equation by factorization 3x²-5x+2=0 ? and can i be shown a checking method to show this is correct thank you

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Question 1029449: solve the quadratic equation by factorization
3x²-5x+2=0 ?
and can i be shown a checking method to show this is correct thank you

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2-5x%2B2=0
%28x-1%29%283x-2%29=0
Two solutions:
x-1=0
x=1
.
.
3x-2=0
3x=2
x=2%2F3
.
.
Checking method : Plug and chug, test the value in your original equation,
3%281%29%5E2-5%281%29%2B2=0
3-5%2B2=0
-2%2B2=0
0=0
True so it's a good solution.
Check the other solution the same way.