Question

помогите пожалуйста

Answer 1

$\large \sf \: 2 - \frac{ {x}^{2} - 2x - 7}{1 - x} = 0; \\ \sf \large \: \underbrace{2} _{1 - x} - \frac{ {x}^{2} - 2x - 7}{ 1 - x} = 0; \\ \sf \large \: 2 - 2x - \bigg( {x}^{2} - 2x - 7 \bigg) = 0; \\ \sf \large \: 2 - \not2\not{x} - {x}^{2} + \not2 \not{x} + 7 = 0; \\ \sf \large \: - {x}^{2} + 9 = 0; \\ \sf \large \: {x}^{2} - 9 = 0; \\ \sf \large \bigg(x - 3 \bigg) \bigg(x + 3 \bigg) = 0; \Rightarrow \\ \sf \large \Rightarrow \: x \tiny{1} = \large \: 3; \: \: \: \: \: \: \: \: \: \: \: \: \: x \tiny{2} \large \: = - 3. \\ \sf \large \: ODZ : x \neq \: 1; \Rightarrow \\ \sf \large \: \Rightarrow \boxed{ \underline{ \frak{ \huge \: otvet : \: x { \large\tiny1} = 3 ; \: \: \: \: \: \: \: \: \: \: x {\tiny2 } = - 3}}}.$