Question

Quanto é 9x² + 12x + 4 = 16 ??? Usando Delta!

Answer 1

Olá,

Resolução:

9x²+12x + 4 = 16
9x²+12x -12 = 0

a = 9
b = 12
c = -12

Δ = b² -4ac
Δ = 12² -4.9.(-12)
Δ = 144 -36.(-12)
Δ = 144 + 432
Δ = 576

x = -b ± √Δ /2a

x = -12 ± √576 / 2.9

x = -12 ± 24 /18

x' = -12 + 24 /18
x' = 12 : 2/18 : 2
x' = 6 : 3/9 : 3
x' = 2 / 3

x'' = -12 - 24 / 18
x'' = -36/18
x'' = - 2

S={-2,2/3}

Bons Estudos!!