x-1/3x=1/6 find the roots of the equation where x not equals to 0 (step by step explanation)
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Step-by-step explanation:after cross multiply
6(x-1)= 3x
6x-6=3x
6x-3x=6
3x=6
x=6/3
x=2/1
x=2
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Answered by
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Answer:
x- 1/3x = 1/6
3x²-1 / 3x = 1/6
3x²-1= 3x/6
3x²-1 = x/2
6x²-2-x = 0
6x²-4x+3x-2 =0
2x(3x-2)+1(3x-2) = 0
(2x+1) (3x-2)=0
2x+1 =0 , 3x-2 =0
x= -1/2 or x = 2/3
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