Question

5/x+2 -3/x-2 =2/x solve the equation​

Answer 1

Step-by-step explanation:

Combine multiplied terms into a single fraction

5

+

2

−

1

⋅

3

−

2

=

2

\frac{5}{x}+2-1 \cdot \frac{3}{x}-2=\frac{2}{x}

x5​+2−1⋅x3​−2=x2​

5

+

2

+

−

1

⋅

3

−

2

=

2

Answer 2

Answer:

$x = \frac{1}{2}$

Step-by-step explanation:

Solve The Enequality:

$\frac{5}{(x + 2)} - \frac{3}{(x - 2)} = \frac{2}{x}$Take The L.C.M. And Solve:

$\frac{5(x - 2) - 3(x + 2)}{(x + 2)(x - 2)} = \frac{2}{x}$

$\frac{5x - 10 - 3x - 6}{(x + 2)(x - 2)} = \frac{2 }{x}$

$\frac{(2x - 16)}{(x + 2)(x - 2)} = \frac{2}{x}$

Now Cross Multiply:

$(2x - 16)\times x = 2\times(x + 2)(x - 2)$

$2 {x }^{2} - 16x = 2( {x}^{2} - 4)$

$2 {x}^{2} - 16x = 2 {x}^{2} - 8$

$- 16x = - 8$

$x = \frac{ - 8}{ - 16}$

$x = \frac{1}{2}$