Задача 8. Решите уравнение \({\left( {x — 1} \right)^2} = {\left( {x + 6} \right)^2}.\)
Ответ ОТВЕТ: — 2,5.
ОТВЕТ: — 2,5.
Решение \({\left( {x — 1} \right)^2} = {\left( {x + 6} \right)^2}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,{x^2} — 2x + 1 = {x^2} + 12x + 36\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,14x = — 35\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = — 2,5.\) Ответ: – 2,5.
\({\left( {x — 1} \right)^2} = {\left( {x + 6} \right)^2}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,{x^2} — 2x + 1 = {x^2} + 12x + 36\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,14x = — 35\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = — 2,5.\)
Ответ: – 2,5.