Question

Por favor preciso disso urgente!!!!!!!!! POR FAVOR!!!!!!
Determine os coeficientes a, b e c, o discriminante e as raízes das funções quadráticas a seguir.

f(x)=3x2+9x+6

a=

b=


c=


Δ=

Menor raiz x=

Maior raiz x=

Answer 1

Resposta:

$a=3;\\\\b=9;\\\\c=6;\\\\ \Delta = 9\\\\ \text{Menor raiz x:} -2\\\\ \text{Maior raiz x:}{-1}$

Explicação passo a passo:

$f(x)=3x^2+9x+6$

onde:

$a=3;\\\\b=9;\\\\c=6;$

$\Delta = b^2-4\cdot a \cdot c\\\\\Delta = 9^2-4\cdot3\cdot6\\\\\Delta = 81-72\\\\\Delta = 9$

$x=\frac{-b\pm\sqrt{\Delta}}{2a}\\\\x=\frac{-9\pm\sqrt{9}}{2\cdot3}\\\\x=\frac{-9\pm3}{6}\\\\x'=\frac{-9-3}{6}=\frac{-12}{6}=-2\\\\x''=\frac{-9+3}{6}=\frac{-6}{6}=-1$