Quais são Raízes da equação 9×⁴-13ײ+4=0
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Equação Biquadrada
![\fbox1\ 9x^4-13x^2+4 = 0 \\ \\ x^2=y \\ \\ \fbox2\ 9y^2-13y+4 = 0 \\ \\
\Delta=(-13)^2-4(9)(4) = 25 \\ \\ y= \frac{13\pm 5 }{18} \\ \\ y' = + \frac{4}{9}\ e\ y"=1 \\ \\ \fbox3 \ x^2=y \to x = \sqrt{y} \\ \\ x^2= \frac{4}{9} \\ \\ [tex]x= -\frac{2}{3}, +\frac{2}{3} \\ \\ x=-1, \ +1](https://tex.z-dn.net/?f=%5Cfbox1%5C+9x%5E4-13x%5E2%2B4+%3D+0+%5C%5C++%5C%5C+x%5E2%3Dy+%5C%5C++%5C%5C+%5Cfbox2%5C+9y%5E2-13y%2B4+%3D+0+%5C%5C++%5C%5C+%0A%5CDelta%3D%28-13%29%5E2-4%289%29%284%29+%3D+25+%5C%5C++%5C%5C+y%3D+%5Cfrac%7B13%5Cpm+5+%7D%7B18%7D+%5C%5C++%5C%5C+y%27+%3D+%2B+%5Cfrac%7B4%7D%7B9%7D%5C+e%5C+y%22%3D1+%5C%5C++%5C%5C+++%5Cfbox3+%5C++x%5E2%3Dy+%5Cto+x+%3D++%5Csqrt%7By%7D++%5C%5C++%5C%5C+x%5E2%3D+%5Cfrac%7B4%7D%7B9%7D+%5C%5C++%5C%5C%C2%A0%5Btex%5Dx%3D+-%5Cfrac%7B2%7D%7B3%7D%2C+%2B%5Cfrac%7B2%7D%7B3%7D+%5C%5C+%5C%5C+x%3D-1%2C+%5C+%2B1%0A "\fbox1\ 9x^4-13x^2+4 = 0 \\ \\ x^2=y \\ \\ \fbox2\ 9y^2-13y+4 = 0 \\ \\
\Delta=(-13)^2-4(9)(4) = 25 \\ \\ y= \frac{13\pm 5 }{18} \\ \\ y' = + \frac{4}{9}\ e\ y\"=1 \\ \\ \fbox3 \ x^2=y \to x = \sqrt{y} \\ \\ x^2= \frac{4}{9} \\ \\ [tex]x= -\frac{2}{3}, +\frac{2}{3} \\ \\ x=-1, \ +1")
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