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dianapankina0
@dianapankina0
August 2022
1
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(х+1)*(x²-10х+25)=7(х-5)
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svetazuna
(х+1)*(x²-10х+25) = 7(х-5),
(х+1)(х-5)
² = 7(х-5),
(x+1)*(x-5)²-7(x-5) = 0,
(x-5)*((x+1)*(x-5)-7) = 0,
x-5 = 0,
x₁ = 5,
(x+1)*(x-5)-7 = 0,
x²-5x+х-5-7 = 0,
x²-4x-12 = 0,
D = (-4)² - 4*1*(-12) = 16 + 48 = 64,
x₂ =
(4 + 8)/2*1 = 12/2
= 6,
x₃ =
(4 - 8)/2*1 = -4/2
= -2.
Ответ:
x₁ = 5 x₂ = 6 x₃ = -2.
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Answers & Comments
(х+1)(х-5)² = 7(х-5),
(x+1)*(x-5)²-7(x-5) = 0,
(x-5)*((x+1)*(x-5)-7) = 0,
x-5 = 0,
x₁ = 5,
(x+1)*(x-5)-7 = 0,
x²-5x+х-5-7 = 0,
x²-4x-12 = 0,
D = (-4)² - 4*1*(-12) = 16 + 48 = 64,
x₂ = (4 + 8)/2*1 = 12/2 = 6,
x₃ = (4 - 8)/2*1 = -4/2 = -2.
Ответ: x₁ = 5 x₂ = 6 x₃ = -2.