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Factorise :6/x - 2/x-1 = 1/x-2 |
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Answer» ong>Step-by-step explanation: 6/x - 2/( x - 1 ) = 1/( x - 2 ) => [6(x-1)-2x]/[x(x-1)] = 1/(x-2) => (6x-6-2x)/(x²-x) = 1/(x-2) => (4x-6)(x-2) = x²-x => 4x² - 8X - 6x + 12 = x² - x => 4x² - x² - 14X + x + 12 = 0 => 3x² - 13x + 12 = 0 => 3x² - 9x - 4x + 12 = 0 => 3x( x - 3 ) - 4( x - 3 ) = 0 => ( x - 3 )( 3x - 4 ) = 0 => x - 3 = 0 or 3x - 4 = 0 => x = 3 or x = 4/3 |
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