Question

1- Aplicando a fórmula de Bhaskara, resolva as seguintes equações do 2º grau.
A)   3x² – 7x + 4 = 0

B)  X²– 4x – 5 = 0
 
C)  x² - 8x + 12 = 0      
 
Urgenteeee!!!!!
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Answer 1

Resposta:

a)S={2;1/3}

b)S={5;-2}

c)S={4;6}

Explicação passo-a-passo:

A) ∆²=b²-4ac

∆²=(-7)²-4×3×4

∆²=49-24

∆²=25

∆=√25

∆=±5

x=-b±√∆/2a

x=-(-7)±5/2×3

x=7±5/6

x¹=7+5/6=2

x²=7-5/6=1/3

S={2;1/3}

B)∆²=b²-4ac

∆²=(-4)²-4×1×(-5)

∆²=16+20

∆²=36

∆=√36

∆=±6

x=-b±√∆/2a

x=-(-4)±6/2×1

x=4±6/2

x¹=4+6/2=5

x²=4-6/2=-2

S={5;-2}

C)∆²=b²-4ac

∆²=(-8)²-4×1×12

∆²=64-48

∆²=16

∆=√16

∆=±4

x=-b±√∆/2a

x=-(-8)±4/2×1

x=8±4/2

x¹=8+4/2=6

x²=8-4/2=2

S={4;6}