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kostyazagaynov
@kostyazagaynov
June 2022
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6. Решите уравнение: (х^2+3)2−7(х^2+3)+12=0.
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Solнышко
(х^2+3)^2−7(х^2+3)+12=0
x^4 +6x^2 +9 -7x^2 -21 +12 =0
x^4 -x^2 =0
x^2(x^2-1)=0
x^2 = 0 x^2-1 = 0
x1 =0 x^2 = 1
x1 = 1 x3 = -1
x1=0, х2=1, х3=-1
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Answers & Comments
x^4 +6x^2 +9 -7x^2 -21 +12 =0
x^4 -x^2 =0
x^2(x^2-1)=0
x^2 = 0 x^2-1 = 0
x1 =0 x^2 = 1
x1 = 1 x3 = -1
x1=0, х2=1, х3=-1