Question

Discriminante A=b2 - 4.2.c
a.) x2 - 4x +3=0
b.) x2 - 12x +35= 0
c.) x2 + 4x +3 = 0
d.) x2 - 4x - 32 = 0
e.) x2 - 10x +9 = 0
f.) x2 +14x +33 = 0​

Answer 1

Oi, bom dia!

Resposta:

a.) Δ = 4.

b.) Δ = 4.

c.) Δ = 4.

d.) Δ = 144.

e.) Δ = 64.

f.) Δ = 64.

Explicação passo-a-passo:

a.) x² – 4x + 3 = 0.

a = 1, b = – 4 e c = 3.

Δ = b² – 4 · a · c

Δ = (– 4)² – 4 · 1 · 3

Δ = 16 – 12

Δ = 4.

b.) x² – 12x + 35 = 0.

a = 1, b = – 12 e c = 35.

Δ = b² – 4 · a · c

Δ = (– 12)² – 4 · 1 · 35

Δ = 144 – 140

Δ = 4.

c.) x² + 4x + 3 = 0.

a = 1, b = 4 e c = 3.

Δ = b² – 4 · a · c

Δ = 4² – 4 · 1 · 3

Δ = 16 – 12

Δ = 4.

d.) x² – 4x – 32 = 0.

a = 1, b = – 4 e c = – 32.

Δ = b² – 4 · a · c

Δ = (– 4)² – 4 · 1 · (– 32)

Δ = 16 + 128

Δ = 144.

e.) x² – 10x + 9 = 0.

a = 1, b = – 10 e c = 9.

Δ = b² – 4 · a · c

Δ = (– 10)² – 4 · 1 · 9

Δ = 100 – 36

Δ = 64.

f.) x² + 14x + 33 = 0.

a = 1, b = 14 e c = 33.

Δ = b² – 4 · a · c

Δ = 14² – 4 · 1 · 33

Δ = 196 – 132

Δ = 64.

Espero ter te ajudado e bons estudos para você! ;)