[tex] \huge \huge \huge\huge\mathrm{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed {\boxed{ \huge\mathfrak{ Solution}}}}}}}}[/tex]
- [tex] \sqrt{x - 1} - x = - 7[/tex]
- [tex] \sqrt{x - 1} =x - 7 [/tex]
- [tex]x - 1 = (x - 7) {}^{2} [/tex]
- [tex]x - 1 = {x}^{2} + 49 - 14x[/tex]
- [tex] {x}^{2} - 14x + 49 - x + 1 = 0[/tex]
- [tex] {x}^{2} - 15x + 50 = 0[/tex]
- [tex] {x}^{2} - 10x - 5x + 50 = 0[/tex]
- [tex]x(x - 10) - 5(x - 10) = 0[/tex]
- [tex](x - 5)(x - 10) = 0[/tex]
- [tex]x = 5 \: \: \: or \: \: \: x = 10[/tex]
