Question

Calcule as raízes da função x² - 5x + 6 = 0.

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Answer 1

Explicação passo-a-passo:

$x^2-5x+6=0$

$\Delta=(-5)^2-4\cdot1\cdot6$

$\Delta=25-24$

$\Delta=1$

$x=\dfrac{-(-5)\pm\sqrt{1}}{2\cdot1}=\dfrac{5\pm1}{2}$

$x'=\dfrac{5+1}{2}~\longrightarrow~x'=\dfrac{6}{2}~\longrightarrow~x'=3$

$x"=\dfrac{5-1}{2}~\longrightarrow~x"=\dfrac{4}{2}~\longrightarrow~x"=2$

Answer 2

as raízes são x¹ = 3 e x² = 2