Question

the question no 22 plz solve it

Answer 1

Here's your answer dear,
Your answer will be x=1 or 2 both is right answer

Answer 2

$\frac{1}{x + 4} - \frac{1}{x - 7} = \frac{11}{30} \\ \\ \Rightarrow \frac{(x - 7) - (x + 4)}{(x + 4)(x - 7)} = \frac{11}{30} \\ \\ \Rightarrow \frac{x - 7- x - 4}{ {x}^{2} - 3x - 28} = \frac{11}{30} \\ \\ \Rightarrow \frac{ - \cancel{11}}{ {x}^{2} - 3x - 28 } = \frac{\cancel{11}}{30} \\ \\ \Rightarrow \frac{ -1}{ {x}^{2} - 3x - 28 } = \frac{1}{30} \\ \\ \Rightarrow {x}^{2} - 3x - 28 = 30 \times ( - 1) = - 30 \\ \\ \Rightarrow {x}^{2} - 3x - 28 + 30 = 0 \\ \\ \Rightarrow {x}^{2} - 3x + 2 = 0\\ \\ \Rightarrow {x}^{2} - 2x - x + 2 = 0\\ \\ \Rightarrow x(x - 2) - 1(x - 2) = 0\\ \\ \Rightarrow (x - 2)(x - 1) = 0 \\ \\ \Rightarrow x - 2 = 0 \: \: and \: \: x - 1 = 0 \\ \\ \Rightarrow x = 2 \: \: and \: \: x = 1$