Question

1) Os valor de ffx) = x* + 3x - 10 para que f(x) = 0 a) 2 e 3 b) -2 e 3 c) 2 e 5 d) -2 e 5 N) 2e-5​

Answer 1

Para que f(x)=0, os valores devem ser x'=2 e x"=-5.

Acompanhe a solução:

Substituindo f(x)=0 na função dada, temos:

Cálculo:

$f(x)=x^2+3x-10\\\\0=x^2+3x-10\\\\\\\Delta=b^2-4ac\\\\\Delta=3^3-4\cdot1\cdot(-10)\\\\\Delta=9+40\\\\\large\boxed{\Delta=49}\\\\\\x=\dfrac{-b\pm\sqrt{\Delta}}{2a}\\\\x=\dfrac{-3\pm\sqrt{49}}{2\cdot1}\\\\\Large\boxed{x=\dfrac{-3\pm7}{2}}$

$\boxed{\large\begin {array}{l}x'=\dfrac{-3+7}{2}\\\\x'=\dfrac{4}{2}\\\\\Large\boxed{\boxed{x'=2}}\Huge\checkmark\end {array}} \quad\quad \boxed{\large\begin {array}{l}x"=\dfrac{-3-7}{2}\\\\x"=\dfrac{-10}{2}\\\\\Large\boxed{\boxed{x"=-5}}\Huge\checkmark\end {array}}$

Resposta:

Portanto, para que f(x)=0, os valores devem ser x'=2 e x"=-5.

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Bons estudos!