Question

B)x²-5x+6=0? Matematica

Answer 1

Resposta:

x = 3

x = 2

Explicação passo a passo:

x² - 5x = 0 - 6

x² - 5x = -6

x² - 5x - (-6) = 0

x² - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0

x - 2 = 0

x = 3

x = 2

Answer 2

$\large\boxed{\begin{array}{l} \rm \: x {}^{2} - 5x + 6 = 0 \\ \\\rightarrow \begin{cases} \rm \: a = 1 \\ \rm \: b = - 5 \\ \rm \: c = 6\end{cases} \\ \\ \rm\Delta = b {}^{2} - 4 \cdot a \cdot c \\ \Delta = ( - 5) {}^{2} - 4 \cdot1 \cdot6 \\\Delta = 25 - 24 \\ \Delta = 1 \\ \\ \rm \: x = \dfrac{ - b \pm \sqrt{\Delta} }{2 \cdot{a}} \\ \\ \rm \: x = \dfrac{ - ( - 5) \pm \sqrt{1} }{2 \cdot1} \\ \\ \rm \: x = \dfrac{5 \pm1}{2} \begin{cases} \rm \: x_1 = \dfrac{5 + 1}{2} = \dfrac{6}{2} = 3\\ \\ \rm \: x_2 = \dfrac{5 - 1}{2} = \dfrac{4}{2} = 2\end{cases} \end{array}}$