Question

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Answer 1

Resposta:

a) $x_{1}$ = -2   $x_{2}$ = -3

b) $x_{1}$ = -3   $x_{2}$ = -8

c) $x_{1}$ = 1     $x_{2}$ = -7  

d) $x_{1}$ = -2   $x_{2}$ = -3

Explicação passo-a-passo:

a)

Δ = 5²-6.1.4

Δ = 25-24

Δ = 1

$x$ = -5 ±√1 /2

$x$ = -5 ±1 /2

$x_{1}$ = -5+1 /2

$x_{1}$ = -4 /2

$x_{1}$ = -2

$x_{2}$ = -5-1 /2

$x_{2}$ = -6 /2

$x_{2}$ = -3

b)

Δ = 11²-24.1.4

Δ = 121-96

Δ = 25

$x$ = -11 ±√25 /2

$x$ = -11 ±5 /2

$x_{1}$ = -11+5 /2

$x_{1}$ = -6 /2

$x_{1}$ = -3

$x_{2}$ = -11-5 /2

$x_{2}$ = -16 /2

$x_{2}$ = -8

c)

Δ = 6²-(-7).1.4

Δ = 36+28

Δ = 64

$x$ = -6±√64 /2

$x$ = -6±8 /2

$x_{1}$ = -6+8 /2

$x_{1}$ = 2 /2

$x_{1}$ = 1

$x_{2}$ = -6-8 /2

$x_{2}$ = -14 /2

$x_{2}$ = -7

d)

Δ = (-5)²-2.3.4

Δ = 25-24

Δ = 1

$x$ = -5±√1 /2

$x$ = -5±1 /2

$x_{1}$ = -5+1 /2

$x_{1}$ = -4 /2

$x_{1}$ = -2

$x_{2}$ = -5-1 /2

$x_{2}$ = -6 /2

$x_{2}$ = -3