Question

f( x ) = 4 x 2 + 4x – 8 raizes e zeros

Answer 1

Resposta:

Explicação passo a passo:

$Raizes\;e\:zeros\;s\tilde{a}o\:a\:mesma\:coisa...$

$4x^{2} +4x-8=0$

$Pra\:ficar\:melhor\:vamos\;dividir\;tudo\:por\;(4)\:ok!$

$x^{2} +x-2=0$

$a=1\\b=1\\c=-2$

$\Delta=b^{2} -4\:.\:a\:.\;c$

$\Delta=(1)^{2} -4\:.\:1\:.\;(-2)$

$\Delta=1+8$

$\Delta=9$

$x=\frac{-b\:\pm\:\sqrt{\Delta} }{2a}$

$x=\frac{-1\:\pm\:\sqrt{9} }{2}$

$x=\frac{-1\:\pm\:3 }{\:2}$

$x'=\frac{-1+3}{\:\:2} =\frac{2}{2}=1$

$x''=\frac{-1-3}{\:\:2} =\frac{-4}{2}=-2$

$S=\{-2;1\}$