Question

Q4. Solve for x : x/(x+1) + (1+x)/x = 34/15 ,x ≠ 0, x ≠ -1​

Answer 1

$\frac{x}{(x + 1)} + \frac{(1 + x)}{x} = \frac{34}{15}$

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

$\frac{ {x}^{2} + x + 1 +{x}^{2} + x }{ {x}^{2} + x } = \frac{34}{15}$

$\frac{ {2x}^{2} + 2x + 1}{ {x}^{2} + x } = \frac{34}{15}$

$15(2 {x}^{2} + 2x + 1) = 34( {x}^{2} + x)$

$30 {x}^{2} + 30x + 15 = 34 {x}^{2} + x$

$30x - x + 15 = 34 {x}^{2} - 30 {x}^{2}$

$29x + 15 = 4 {x}^{2}$

$4 {x}^{2} + 29x + 15 = 0$

further solve this quadratic equation and you will get the answer.......

Answer 2

Answer:

-5/2 or, 3/2

Step-by-step explanation:

see the picture over