Question

encontre as raízes da equação x²-7x + 12=0

Answer 1

Explicação passo-a-passo:

$\sf x^2-7x+12=0$

$\sf \Delta=(-7)^2-4\cdot1\cdot12$

$\sf \Delta=49-48$

$\sf \Delta=1$

$\sf x=\dfrac{-(-7)\pm\sqrt{1}}{2\cdot1}=\dfrac{7\pm1}{2}$

$\sf x'=\dfrac{7+1}{2}~\longrightarrow~x'=\dfrac{8}{2}~\longrightarrow~x'=4$

$\sf x"=\dfrac{7-1}{2}~\longrightarrow~x"=\dfrac{6}{2}~\longrightarrow~x"=3$

As raízes são $\sf 3$ e $\sf 4$