Question

resolva as equações
x²-4=0
x²=9
49=x²
9x²=16
4x²-25=0
x²=2
x²+1=0
4x²=100
3x²=2
-2x²+5=0
2x²+11=0​

Answer 1

a) x²-4=0

x²= 4

x= ± √4

x= ± 2

S= ( 2 , - 2)

b) x²=9

x= ± √9

x= ± 3

S= (3 , - 3)

c) 49=x²

x²= 49

x= ± √49

x= ± 7

S= ( 7 , - 7)

d) 9x²=16

x²= 16/9

x= ± √16/9

x= ± 4/3

S= ( 4/3 , - 4/3)

e) 4x²-25=0

4x²= 25

x²= 25/4

x= ± √25/4

x= ± 5/2

S= ( 5/2 , - 5/2)

f) x²=2

x= ± √2

S= (√2 , - √2)

g) x²+1=0

x²= - 1

x= ± √- 1

Não existe raízes reais.

h) 4x²=100

x²= 100/4

x²= 25

x= ± √25

x= ± 5

S= ( 5 , - 5)

i) 3x²=2

x²= 2/3

x= ± √2/3

S= ( √2/3 , - √2/3)

j) - 2x²+5=0

- 2x²= - 5 (-1)

2x²= 5

x²= 5/2

x= ± √5/2

S= ( √5/2 , - √5/2)

k) 2x²+11=0

2x²= - 11

x²= - 11/2

x= ± √(-11/2)

Não existe raízes reais.

Answer 2

a) x²-4 = 0

⠀⠀x² = 4

⠀⠀x = ±√4

⠀⠀x = ±2

b) x² = 9

⠀⠀x = ±√9

⠀⠀x = ±3

c) 49 = x²

⠀⠀x² = 49

⠀⠀x = ±√49

⠀⠀x = ±7

d) 9x² = 16

⠀⠀x² = 16/9

⠀⠀x = ±√(16/9)

⠀⠀x = ± 4/3

⠀⠀x = ± 1.33

e) 4x²-25 = 0

⠀⠀4x² = 25

⠀⠀x² = 25/4

⠀⠀x = ±√(25/4)

⠀⠀x = √25/√4

⠀⠀x = ± 5/2

⠀⠀x = ±2.5

f) x² = 2

⠀⠀x = ±√2

g) x² + 1 = 0

⠀⠀x² = - 1

⠀⠀x = ±√-1

⠀⠀x = i

h) 4x² = 100

⠀⠀x² = 100 ÷ 4

⠀⠀x² = 25

⠀⠀x = ±√25

⠀⠀x = ±5

i) 3x² = 2

⠀⠀x² = 2 ÷ 3

⠀⠀x = ±√0.66

j) -2x² + 5 = 0

⠀⠀-2x² = -5

⠀⠀2x² = 5

⠀⠀x² = 5 ÷ 2

⠀⠀x = ±√2.5

k) 2x² + 11 = 0

⠀⠀2x² = -11

⠀⠀x² = -11 ÷ 2

⠀⠀x = ±√(-5.5)

Espero Ter Ajudado !!