Question

answer these questions

Answer 1

Solution :-

$\frac{x}{x + 1} + \frac{x + 1}{x } = 2\frac{4}{15} \\ \frac{ {x}^{2} + {x}^{2} + 1 + 2x }{x(x + 1)} = 2 \frac{4}{15} \\ \frac{2 {x}^{2} + 2x + 1}{x(x + 1)} = \frac{34}{15} \\ \frac{x(x + 1) + 1(x + 1)}{x(x + 1)} = \frac{34}{15} \\ \frac{(x + 1)}{x} = \frac{34}{15} \\ 15x + 15 = 34x \\ 34x - 15x = 15 \\ x = \frac{15}{19}$

Answer 2

Answer:

Step-by-step explanation:

1)  x/(x+1) + (x+1)/x = 34/15

Take LCM,

x²+(x+1)²/x(x+1) = 34/15

2)

Take LCM

(x+1)²+16 (x-1)²+ 8(x+1)(x-1)= 0

Apply (a+b)² = a²+b²+2ab

(a-b)² = a²+b²-2ab

a²-b² = (a+b) (a-b)

on applying these formula you can find out the solution of the given question.

3) Similar to 1) and 2) you can solve 3 and 4 equation.