Question

ME AJUDEM URGENTE!!!

1)
{x}^{2} - 5x + 6 = 0x2−5x+6=0


2)
{x}^{2} - 4x - 5 = 0x2−4x−5=0


3)
3 {x}^{2} - 7x + 2 = 03x2−7x+2=0
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Answer 1

Resposta:

x²- 5x +6=0

a=1

b=(-5)

c=6

Δ=b²-4.a.c

Δ=(-5)²-4.1.6

Δ=25-24

Δ=1

x=-b±√Δ/2.a

x=-(-5)±√1/2.1

x=5±1/2

x'=5+1/2=6/2=3

x"=5-1/2=4/2=2

S=(2,3)

B) x²-4x-5=0

a=1

b=(-4)

c=(-5)

Δ=b²-4.a.c

Δ=(-4)²-4.1.(-5)

Δ=16+20

Δ=36

x=-b±√Δ/2.a

x=-(-4)±√36/2.1

x=4±6/2

x'=4+6/2=10/2=5

x"=4-6/2=-2/2=-1

S=(-1,5)

C)3x²-7x+2=0

a=3

b=(-7)

c=2

Δ=b²-4.a.c

Δ=(-7)²-4.3.2

Δ=49-24

Δ=25

x=-b±√Δ/2.a

x=-(-7)±√25/2.3

x=7±5/6

x'=7+5/6=12/6=2

x"=7-5/6=2/6  (÷2)=1/3

S=(1/3,2)

Explicação passo-a-passo: