Question

Determine as raízes da equação -10x + 3x² + 3 = 0.
me ajudem plsss

Answer 1

Explicação passo-a-passo:

$\sf 3x^2-10x+3=0$

$\sf \Delta=(-10)^2-4\cdot3\cdot3$

$\sf \Delta=100-36$

$\sf \Delta=64$

$\sf x=\dfrac{-(-10)\pm\sqrt{64}}{2\cdot3}=\dfrac{10\pm8}{6}$

$\sf x'=\dfrac{10+8}{6}~\Rightarrow~x'=\dfrac{18}{6}~\Rightarrow~\red{x'=3}$

$\sf x"=\dfrac{10-8}{6}~\Rightarrow~x"=\dfrac{2}{6}~\Rightarrow~\red{x"=\dfrac{1}{3}}$