Question

resolva a equação :16× ao quadrado+24×+9=100

Answer 1

16x² + 24x - 91 = 0
Δ = 576 + 5824
Δ = 6400

x = - 24 +-√6400/32
x = -24 +-80/32
x' = - 24 + 80/32
x' = 56/32 = 7/4

x'' = -24 - 80/32
x'' = -104/32
x'' = - 13/4     ok

Answer 2

16 x² + 24 x + 9 = 100
16 x² + 24 x  + 9 - 100 = 0
16 x² + 24 x - 91 = 0
Δ = b² - 4.a.c
Δ = 24² - 4.16.-91
Δ = 576  +  5824  ⇒6400 ⇒√6400 = 80
x = -b + ou - 80/2.16
x = -24 + 80/32 ⇒ 56/32 = simplifica por 8 = 7/4
x´´ = -24 - 80 /2 ⇒-104/32 =  simplifica por 8 = -13/4
S  = {7/4; -13/4 }