A PARÁBOLA GERADA PELA FUNÇÃO F(x)=X²-4X-5 INTERCEPTA EM QUAIS PONTOS O EIXOS DAS ABCISSAS?
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Boa noite!
Solução!
Para saber onde intercepta os eixos das abcissas,basta determinar suas raizes.
![f(x)= x^{2} -4x-5\\\\\\\
x= \dfrac{4\pm \sqrt{(-4)^{2}-4.1.-5 } }{2.1}\\\\\\
x= \dfrac{4\pm \sqrt{16+20} }{2}\\\\\\
x= \dfrac{4\pm \sqrt{36} }{2}\\\\\\
x= \dfrac{4\pm 6 }{2}\\\\\\
Raizes!\\\\\\\
x_{1}= \dfrac{4+6}{2}= \dfrac{10}{2}=5\\\\\\\\
x_{1}= \dfrac{4-6}{2}= \dfrac{-2}{2}=-1\\\\\\\\](https://tex.z-dn.net/?f=f%28x%29%3D+x%5E%7B2%7D+-4x-5%5C%5C%5C%5C%5C%5C%5C%0Ax%3D+%5Cdfrac%7B4%5Cpm+%5Csqrt%7B%28-4%29%5E%7B2%7D-4.1.-5+%7D+%7D%7B2.1%7D%5C%5C%5C%5C%5C%5C%0A%0Ax%3D+%5Cdfrac%7B4%5Cpm+%5Csqrt%7B16%2B20%7D+%7D%7B2%7D%5C%5C%5C%5C%5C%5C+%0A%0Ax%3D+%5Cdfrac%7B4%5Cpm+%5Csqrt%7B36%7D+%7D%7B2%7D%5C%5C%5C%5C%5C%5C%0A%0A+x%3D+%5Cdfrac%7B4%5Cpm+6+%7D%7B2%7D%5C%5C%5C%5C%5C%5C+%0A%0ARaizes%21%5C%5C%5C%5C%5C%5C%5C%0A+x_%7B1%7D%3D+%5Cdfrac%7B4%2B6%7D%7B2%7D%3D+%5Cdfrac%7B10%7D%7B2%7D%3D5%5C%5C%5C%5C%5C%5C%5C%5C+%0Ax_%7B1%7D%3D+%5Cdfrac%7B4-6%7D%7B2%7D%3D+%5Cdfrac%7B-2%7D%7B2%7D%3D-1%5C%5C%5C%5C%5C%5C%5C%5C+++ "f(x)= x^{2} -4x-5\\\\\\\
x= \dfrac{4\pm \sqrt{(-4)^{2}-4.1.-5 } }{2.1}\\\\\\
x= \dfrac{4\pm \sqrt{16+20} }{2}\\\\\\
x= \dfrac{4\pm \sqrt{36} }{2}\\\\\\
x= \dfrac{4\pm 6 }{2}\\\\\\
Raizes!\\\\\\\
x_{1}= \dfrac{4+6}{2}= \dfrac{10}{2}=5\\\\\\\\
x_{1}= \dfrac{4-6}{2}= \dfrac{-2}{2}=-1\\\\\\\\")
Pontos de intersecção!
Boa noite!
Bons estudos!
Solução!
Para saber onde intercepta os eixos das abcissas,basta determinar suas raizes.
Pontos de intersecção!
Boa noite!
Bons estudos!
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