Dada a equação (x ao quadrado -4) (x ao quadrado -1)=5 (4-x ao quadrado)
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(x²-4) . (x²-1) = 5.(4-x²)
(x².x²) - (x².1) - (4.x²) + (4.1) = 20 - 5x²
![x^{4}-x^{2}-4x^{2}+4-20+5x^{2}=0\\\\x^{4}-5x^{2}+5x^{2}+4-20=0\\\\x^{4}-0-16=0\\\\x^{4}-16=0\\\\x^{4}=16\\\\x= \sqrt[4]{16} \\\\\boxed{x'=2}\\\\\boxed{x''=-2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \boxed{\boxed{S=\{\ -2,2\ \}}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok](https://tex.z-dn.net/?f=x%5E%7B4%7D-x%5E%7B2%7D-4x%5E%7B2%7D%2B4-20%2B5x%5E%7B2%7D%3D0%5C%5C%5C%5Cx%5E%7B4%7D-5x%5E%7B2%7D%2B5x%5E%7B2%7D%2B4-20%3D0%5C%5C%5C%5Cx%5E%7B4%7D-0-16%3D0%5C%5C%5C%5Cx%5E%7B4%7D-16%3D0%5C%5C%5C%5Cx%5E%7B4%7D%3D16%5C%5C%5C%5Cx%3D+%5Csqrt%5B4%5D%7B16%7D+%5C%5C%5C%5C%5Cboxed%7Bx%27%3D2%7D%5C%5C%5C%5C%5Cboxed%7Bx%27%27%3D-2%7D%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C++%5C+%5C+%5C++%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C++%5C+%5Cboxed%7B%5Cboxed%7BS%3D%5C%7B%5C+-2%2C2%5C+%5C%7D%7D%7D%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C+%5C++%5C+%5C+%5C+%5C+%5C+%5C+%5C++%5C+%5C+%5C+ok "x^{4}-x^{2}-4x^{2}+4-20+5x^{2}=0\\\\x^{4}-5x^{2}+5x^{2}+4-20=0\\\\x^{4}-0-16=0\\\\x^{4}-16=0\\\\x^{4}=16\\\\x= \sqrt[4]{16} \\\\\boxed{x'=2}\\\\\boxed{x''=-2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \boxed{\boxed{S=\{\ -2,2\ \}}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok")
(x².x²) - (x².1) - (4.x²) + (4.1) = 20 - 5x²
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