Ответ(ы) на вопрос:
[latex] x^{4} +6 x^{2} -27=0[/latex]
[latex]x^{2} =t[/latex]
[latex] t^{2} +6t-27=0[/latex]
[latex]D= b^{2} -4ac=36-4*1*(-27)=36+108=144>0[/latex](2 корня)
[latex] t_{1} = \frac{b+ \sqrt{D} }{2a} = \frac{-6+12}{2} = \frac{6}{2} =3[/latex]
[latex] t_{2} = \frac{-b- \sqrt{D} }{2a} = \frac{-6-12}{2} = \frac{-18}{2} =-9[/latex]
[latex] x_{1} = t_{2} [/latex]
[latex] x_{2} = t_{2} [/latex]
[latex] x_{1} =3[/latex]
[latex] x_{2} =-9[/latex]
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