Question

Answer the above question
​

Answer 1

Answer:I cant see the question

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given that:

$\frac{1}{x + 4} - \frac{1}{x - 7} = \frac{11}{30} , \: x \:≠ - 4,7.$

To find:

Roots in the following equations.

Solution:

We have,

$\frac{1}{ x+ 4} - \frac{1}{x - 7} = \frac{11}{30}$

$\longrightarrow \: \frac{(x - 7) - (x + 4)}{(x - 7)(x + 4)} = \frac{11}{30}$

$\longrightarrow \: \frac{x - 7 - x - 4}{(x - 7)(x + 4)} = \frac{11}{30}$

$\longrightarrow \: \frac{ - 11}{(x - 7)(x + 4)} = \frac{11}{30}$

$\longrightarrow \: \frac{ - 1}{(x - 7)(x + 4)} = \frac{ 1}{30}$

$\longrightarrow \: (x - 7)(x + 4) = - 30$

$\longrightarrow \: {x}^{2} - 7x + 4x - 28 = - 30$

$\longrightarrow \: {x}^{2} - 3x - 28 + 30 = 0$

$\longrightarrow \: {x}^{2} - 3x + 2 = 0$

$\longrightarrow \: {x}^{2} - (2 + 1)x + 2 = 0$

$\longrightarrow \: {x}^{2} - 2x - 1x + 2 = 0$

$\longrightarrow \: x(x - 2) - 1(x - 2) = 0$

$\longrightarrow \: (x - 2)( x- 1) = 0$

$If \: x - 2 = 0 \: ,then \: x = 2$

$If \: x - 1 = 0 \: , \: then \: x = 1$

∴ x = 1,2

Therefore, according to the question we find roots are {1,2} Ans.