Question

solve it

Find the value of x if 6/x-2/x-1=1/x-2

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Answer 1

6/x-2/x-1=1/x-2

so,the x is

x= -3

Answer 2

AnsweR

x = 3 or x = 4/3

Solution :

$\implies$ 6/x – 2/(x–1) = 1/(x–2)

$\implies$ [6(x–1)–2x]/[x(x–1)] = 1/(x–2)

$\implies$ (6x–6–2x)/(x²–x) =1/(x–2)

$\implies$ (4x–6) (x–2) = x²–x

$\implies$ 4x² – 8x – 6x + 12 = x²–x

$\implies$ 4x² – x² –14x + x + 12 = 0

$\implies$ 3x² – 13x + 12 = 0

$\implies$ 3x² – 9x –4x +12 = 0

$\implies$ 3x(x – 3) –4(x – 3) = 0

$\implies$ (x – 3) (3x – 4) = 0

$\implies$ x – 3 = 0 or 3x – 4 = 0

$\implies$ x = 3 or x = 4/3