Question

The solution of the equation 6x÷x+1+6(x+1)÷x=13 are ​

Answer 1

Answer:

Step-by-step explanation: remaining steps solve by factorisation method

Answer 2

The solution to the equation is x = 2 or x = -3.

Given:

$\frac{6x}{x+1} +\frac{6(x+1)}{x} = 13$

To find: x

Solution:

We are given the equation,

$\frac{6x}{x+1} +\frac{6(x+1)}{x} = 13$

⇒ $\frac{6x^{2} + 6(x+1)^{2} }{x^{2} + x} =13$

⇒ 6x² + 6(x + 1)² = 13x² + 13x

⇒ 6x² + 6 + 12x = 7x² + 13x

⇒ x² + x - 6 = 0

⇒ x² + 3x - 2x - 6 = 0

⇒ x(x + 3) - 2(x + 3) = 0

⇒ (x - 2)(x + 3) = 0

⇒ x = 2 or x = -3

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