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Solve for x3/x-1 +1/x+1=4/x |
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Answer» Answer: Given equation 3/x-1+1/x-3=4/x-2 We NEED to find the value of x 3/x-1+1/x-3=4/x-2 On taking LCM in LHS we get 3(x-3) + 1 (x-1) / (x-1)(x-3)= 4/ x-2 =>3x-9 + x-1 / (x-1)(x-3) = 4/ x-2 => (4x -10) (x-2) = 4 (x-1) (x-3) = >4×2 – 8x -10x+20= 4 (X2 -3x -x+3) => 4x2 -18x +20 = 4x2 – 12X -4x +12 => 4x2 -18x +20 = 4x2 – 16x +12 4x2 gets cancelled on both SIDES => -18x +20 = – 16x +12 => -18x+16x = 12 – 20 => -2x = -8 Negative sign gets cancelled on both sides => 2x= 8 => x= 8/2 =>x=4 Hence x=4 |
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