Question

x ao quadrado menos 18x + 45 = ??

Answer 1

Olá!!!

Resolução!!!

x² - 18x + 45 = 0

a = 1, b = - 18, c = 45

∆ = b² - 4ac
∆ = ( - 18 )² - 4 • 1 • 45
∆ = 324 - 180
∆ = 144

x = - b ± √∆ / 2a
x = - ( - 18 ) ± √144 / 2 • 1
x = 18 ± 12 / 2
x' = 18 + 12 / 2 = 30/2 = 15
x" = 18 - 12 / 2 = 6/2 = 3

S = { 3, 15 }

Espero ter ajudado!!!

Answer 2

Resposta:

$x^2-18x+45\\\\\left(x^2-3x\right)+\left(-15x+45\right)\\\\x\left(x-3\right)-15\left(x-3\right)\\\\\mathrm{Fatorar\:o\:termo\:comum\:}x-3\\\\\left(x-3\right)\left(x-15\right)$