Alguém consegue deixar a resolução dessas atividades pra mim? 20 pontos <3
Anexos:
Soluções para a tarefa
Respondido por
1
a) x² -x -6 = 0 a=1 b=-1 c=-6
Δ = b² - 4.a.c
Δ = (-1)² - 4.1.-6
Δ = 1 + 24
Δ = 25
x = -b +- √Δ/2a
x = -(-1) +- √25/2.1
x = 1 +- 5 /2 x1 = 1 +5/2 x2 = 1 -5/2
x1 = 6/2 x2 = -4/2
x1 = 3 x2 = -2
b) x² -8x +12 = 0 a=1 b=-8 c=12
Δ = b² - 4.a.c
Δ = (-8)² -4.1.12
Δ = 64 - 48
Δ = 16
x = -b +- √Δ/2a
x = -(-8) +- √16/2.1
x = 8 +- 4/2 x1 = 8 +4/2 x2 = 8-4/2
x1 = 12/2 x2 = 4/2
x1 = 6 x2 = 2
c) x² +8x +2 = 0 a=1 b=8 c=2
Δ = b² - 4.a.c
Δ = 8² -4.1.2
Δ = 64 - 8
Δ = 56
x = -b +- √Δ/2a
x = -8 +- √56/2a
fatorando 56
56/2
28/2
14/2
7/7
1/= 2.2.2.7
\ /
2² . 2 . 7
x = -8 +- √56/2a
x = -8 +- √2².2.7 / 2.1
x = -8 +- 2√2.7 / 2
x = -8 +- 2√14/2
x1 = -8 +2√14 /2 x2 = -8 -2√14/2
x1 = -6 √14/2 x2 = -10 √14/2
x1 = -3√14 x2 = -5√14
d) x² +6x +9 = 0 a=1 b=6 c=9
Δ = b² - 4.a.c
Δ = 6² - 4.1.9
Δ = 36 - 36
Δ = 0 quando delta = 0 só tem uma raiz real
x = -b +- √Δ /2a
x = -6 +- 0 / 2.1
x = -6 / 2
x = -3
e) x² +2x -8 = 0 a=1 b=2 c=-8
Δ = b² - 4.a.c
Δ = 2² - 4.1.-8
Δ = 4 + 32
Δ = 36
x = -b +- √Δ / 2a
x = -2 +- √36 / 2.1
x = -1 +- 6 /2 x1 = -1 +6/2 x2 = -1-6/2
x1 = 5/2 x2 = -7/2
x1 = 2,5 x2 = -3,5
f) x² +5x +8 = 0 a=1 b=5 c=8
Δ = b² - 4.a.c
Δ = 5² -4.1.8
Δ = 25 -32
Δ = -7
não existem raizes reais quando delta for negativo
Δ = b² - 4.a.c
Δ = (-1)² - 4.1.-6
Δ = 1 + 24
Δ = 25
x = -b +- √Δ/2a
x = -(-1) +- √25/2.1
x = 1 +- 5 /2 x1 = 1 +5/2 x2 = 1 -5/2
x1 = 6/2 x2 = -4/2
x1 = 3 x2 = -2
b) x² -8x +12 = 0 a=1 b=-8 c=12
Δ = b² - 4.a.c
Δ = (-8)² -4.1.12
Δ = 64 - 48
Δ = 16
x = -b +- √Δ/2a
x = -(-8) +- √16/2.1
x = 8 +- 4/2 x1 = 8 +4/2 x2 = 8-4/2
x1 = 12/2 x2 = 4/2
x1 = 6 x2 = 2
c) x² +8x +2 = 0 a=1 b=8 c=2
Δ = b² - 4.a.c
Δ = 8² -4.1.2
Δ = 64 - 8
Δ = 56
x = -b +- √Δ/2a
x = -8 +- √56/2a
fatorando 56
56/2
28/2
14/2
7/7
1/= 2.2.2.7
\ /
2² . 2 . 7
x = -8 +- √56/2a
x = -8 +- √2².2.7 / 2.1
x = -8 +- 2√2.7 / 2
x = -8 +- 2√14/2
x1 = -8 +2√14 /2 x2 = -8 -2√14/2
x1 = -6 √14/2 x2 = -10 √14/2
x1 = -3√14 x2 = -5√14
d) x² +6x +9 = 0 a=1 b=6 c=9
Δ = b² - 4.a.c
Δ = 6² - 4.1.9
Δ = 36 - 36
Δ = 0 quando delta = 0 só tem uma raiz real
x = -b +- √Δ /2a
x = -6 +- 0 / 2.1
x = -6 / 2
x = -3
e) x² +2x -8 = 0 a=1 b=2 c=-8
Δ = b² - 4.a.c
Δ = 2² - 4.1.-8
Δ = 4 + 32
Δ = 36
x = -b +- √Δ / 2a
x = -2 +- √36 / 2.1
x = -1 +- 6 /2 x1 = -1 +6/2 x2 = -1-6/2
x1 = 5/2 x2 = -7/2
x1 = 2,5 x2 = -3,5
f) x² +5x +8 = 0 a=1 b=5 c=8
Δ = b² - 4.a.c
Δ = 5² -4.1.8
Δ = 25 -32
Δ = -7
não existem raizes reais quando delta for negativo
lelunardi1:
;D
Perguntas interessantes