( х + 4 )² = 3х + 40
х² + 8х + 16 = 3х + 40
х² + 8х + 16 - 3х - 40 = 0
х² + 5х - 24 = 0
D = 25 - 4 × 1 × (-24) = 121 > 0. 11.
х1 = (-5 + 11) / 2 = 6/2 = 3.
х2 = ( -5 - 11) / 2 = -16/2 = -8.
Ответ : -8 ; 3.
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3 ( х + 4 )² = 10х + 32
3 ( х² + 8х + 16 ) = 10х + 32
3х² + 24х + 48 = 10х + 32
3х² + 24х + 48 - 10х - 32 = 0
3х² + 14х + 16 = 0
D = 196 - 4 × 3 × 16 = 4 > 0. 2.
х1 = ( -14 + 2 ) / 6 = -12/6 = -2.
х2 = ( -14 - 2 ) / 6 = -16/6 = -8/3 = -2 ⅔.
Ответ : -2 ; -2 ⅔.
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