Ответ:
Объяснение:
№ 1 .
1 ) 5x² - 10 = 0 ; ----> 5x² = 10 ; ----> x² = 2 ; ----> x₁,₂ = ± √2 ;
2) x² + 4x = 0 ; ----> x( x + 4 ) = 0 ; ----> x₁ = 0 , x₂ = - 4 ;
3) 3x² + 7x + 2 = 0 ; D = 7²- 4*3*2 = 25 > 0 ; x₁ = ( - 7 - 5 )/6 = - 2 ; x₂ = - 1/3
4) x² - 8x + 16 = 0 ; D = 0 ; x = 4 ;
5) x² + x + 3 = 0 ; D = - 11 < 0 ; xЄ ∅ ;
6) 3x² - x - 5 = 0 ; D = 61 > 0 ; x₁ = ( 1 - √61 )/6 ; x₂ = ( 1 + √61 )/6 .
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Ответ:
Объяснение:
№ 1 .
1 ) 5x² - 10 = 0 ; ----> 5x² = 10 ; ----> x² = 2 ; ----> x₁,₂ = ± √2 ;
2) x² + 4x = 0 ; ----> x( x + 4 ) = 0 ; ----> x₁ = 0 , x₂ = - 4 ;
3) 3x² + 7x + 2 = 0 ; D = 7²- 4*3*2 = 25 > 0 ; x₁ = ( - 7 - 5 )/6 = - 2 ; x₂ = - 1/3
4) x² - 8x + 16 = 0 ; D = 0 ; x = 4 ;
5) x² + x + 3 = 0 ; D = - 11 < 0 ; xЄ ∅ ;
6) 3x² - x - 5 = 0 ; D = 61 > 0 ; x₁ = ( 1 - √61 )/6 ; x₂ = ( 1 + √61 )/6 .