Question

como fazer a equacao de (x-6).(x-3)=0

Answer 1

$(x - 6).(x - 3) = 0 \\ {x}^{2} - 3x - 6x + 18 = 0 \\ {x}^{2} - 9x + 18 = 0 \\ delta = {( - 9)}^{2} - 4.1.18 \\ delta = 81 - 72 \\ delta = 9 \\ x = \frac{9 + 3}{2} = 6 \\ x = \frac{9 - 3}{2} = 3 \\ logo \: a \: solucao \: da \: equacao \: do \: segundo \: grau \: e \: (6 \: e \: 3)$

Answer 2

$(x - 6).(x - 3) = 0$
${x}^{2} - 3x - 6x + 18 = 0$
${x}^{2} - 9x + 18 = 0$
$Δ = {b }^{2} - 4.a.c \\ Δ = ({ - 9}^{2} ) - 4.1.18 \\ Δ = 81 - 72 \\ Δ = 9$
$x = \frac{-b± \sqrt{Δ} }{2.a}$
$x = \frac{ - ( - 9)± \sqrt{9}} {2.1}$
$x = \frac{9±3}{2}$
$x' = \frac{9 + 3}{2} = \frac{12}{2} = 6$
$x'' = \frac{9 - 3}{2} = \frac{6}{2} = 3$
$Portanto \: a \: solucao \: e \: 6 \: e \: 3$