Question

Sendo f(x) = 4x² - 6x -4 . Encontre as raízes para f(x) = 0

Answer 1

Explicação passo-a-passo:

$\Delta =b^{2} -4ac=( -6)^{2} -4\cdotp 4\cdotp ( -4) \\ \Longrightarrow \Delta =100$

$x_{1} =\frac{-b+\sqrt{\Delta }}{2a} =\frac{6+10}{8} \\ \Longrightarrow \boxed{x_{1} =2} \\ \\ \ x_{2} =\frac{-b-\sqrt{\Delta }}{2a} =\frac{6-10}{8} \\ \Longrightarrow \boxed{x_{2} =-\frac{1}{2}} \\ \\ \ S=\left\{x\in \mathbb{R} |x=-\frac{1}{2} \lor x=2\right\}$