Question

Resolva as seguintes equações do 2˚ grau:
A)(m+3).(m-6)=m-18
B)(m+5).(m-4)=m+16

Answer 1

A)
( m + 3 ) ( m - 6 ) = m - 18
m² - 6 m + 3 m - 18 = m - 18
m² - 4 m = 0

m ( m - 4 ) = 0
m' = 0
m - 4 = 0
m'' = 4

B)
( m + 3 ) ( m - 4 ) = m + 16
m² - 4 m + 3 m - 12 = m + 16
m² - 4 m + 3 m - 12 - m - 16 = 0
m² - 2 m - 28 = 0

Δ = b² - 4 .a.c
Δ = ( - 2 )² - 4 . 1 . ( - 28)
Δ = 4 + 112
Δ = 116

Answer 2

(m+5)×(m-4)=(m=16)
m²-4m×5m=20=m+16
m²+m-m-20-16=0
m²-36=0
m²=36
m²=+- (raiz)36
m' =+6
m²= -6



⇒(m+3)×(m-6)=m-18
m²-6m×3m-12=m-18
m²=m-m-12=18
m²= -4
m²=-+(raiz)-4
m²=-2
m²=2