Ответ:
Объяснение:
8 . 1 ) x² + 2mx + m² = 0 ; x₁ = - 2 .
При x = - 2 ; (- 2 )² + 2m*(- 2 ) + m² = 0 ;
m² - 4m + 4 = 0 ;
( m - 2)² = 0 ;
m - 2 = 0 '
m = 2 .
2 ) m²x² - 4 + 9mx - 6 = 0 ; x₁ = 2 ;
m² * 2² + 9m * 2 - 10 = 0 ;
4m² + 18m - 10 = 0 ;
2m² + 9m - 5 = 0 ; D = 121 > 0 ; m₁ = - 5 ; m₂ = 0,5 .
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Ответ:
Объяснение:
8 . 1 ) x² + 2mx + m² = 0 ; x₁ = - 2 .
При x = - 2 ; (- 2 )² + 2m*(- 2 ) + m² = 0 ;
m² - 4m + 4 = 0 ;
( m - 2)² = 0 ;
m - 2 = 0 '
m = 2 .
2 ) m²x² - 4 + 9mx - 6 = 0 ; x₁ = 2 ;
m² * 2² + 9m * 2 - 10 = 0 ;
4m² + 18m - 10 = 0 ;
2m² + 9m - 5 = 0 ; D = 121 > 0 ; m₁ = - 5 ; m₂ = 0,5 .