Question

(x+1) (x+2) /(x+11) (x-2) =1

Answer 1

$\bold\red{\mathcal{\underline{\underline{Answer:}}}}$

$6$

$\bold\red{\mathcal{\underline{\underline{Step-by-step\:Explaination:}}}}$

$\frac{(x + 1)(x + 2)}{(x + 11)(x - 2)} = 1 \\ ⇒ \frac{ {x}^{2} + 2x + x + 2}{ { {x}^{2} - 2x + 11x - 22}} = 1 \\ ⇒ \frac{ {x}^{2} + 3x + 2 }{ {x}^{2} + 9x - 22 } = 1\\ ⇒ { {x}^{2} + 3x + 2} = {x}^{2} + 9x - 22 \\ ⇒ {x}^{2} + 3x + 2 - {x}^{2} - 9x + 22 = 0 \\⇒ - 6x + 24 = 0 \\⇒ - 6x = - 24 \\ ⇒ x = \frac{ - 24}{ - 6} \\ ⇒x = 4$

$\bold\green{\boxed{∴x=4}}$

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Answer 2

Answer:

{(x+1)(x+2)} / {(x+11)(x-2)} = 1

(x+1)(x+2) = (x+11)(x-2)

x^2 +2x +x +2 = x^2 + 11x - 2x - 22

x^2 + 3x +2 = x^2 + 9x -22

2+ 22 = 9x - 3x

24 = 6x

x = 4

Step-by-step explanation:

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