Question

please answer this question ​

Answer 1

✧ Question :-

• $= \bf \: \huge \frac{x - 1}{x - 2} + \frac{x - 3}{x - 4} = 3 \frac{1}{3}$

✯ Solution :-

$\bf \implies \frac{( x- 1)(x - 4) + ( x- 3)( x- 2)}{(x - 2)(x - 4)} = \frac{10}{3} \\ \bf \implies \: \frac{ ({x}^{2} - 5x + 4) + ( {x}^{2} - 5 + 6)}{ ({x}^{2} - 5x + 8)} = \frac{10}{3} \\ \bf \implies3({2x}^{2} - 10x + 10 ) = 10( {x}^{2} - 6x + 8) \\ \bf \implies3 \times 2( {x}^{2} - 10x + 10) = 10( {x }^{2} - 6x + 8) \\ \sf \: (by \:taking\: common) \\ \bf \implies3 \times \cancel2 \: ( {x}^{2} - 5x + 5) = \cancel{10}( {x}^{2} - 6x + 8) \\ \bf \implies3 {x}^{2} - 15x + 15 = 5 {x}^{2} - 30x + 40\\ \bf \implies \: 3 {x}^{2} - 5 {x}^{2} - 15x + 30x + 10 - 40 = 0 \\ \bf \implies \: - 2 {x}^{2} + 15x - 25 = 0 \\ \bf \implies \: 2 {x}^{2} - 15 + 25 = 0 \\ \bf \implies2 {x}^{2} - 10x - 5x + 25 = 0 \\ \bf \implies2x(x - 5) - 5( x- 5) = 0 \\ \bf \implies \: 2x - 5 = 0 \\ \bf \implies \: x = \frac{5}{2}$

Answer 2

Answer:

Thank you

Step-by-step explanation:

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