Question

resolva as equações A)2x^2-98=0. B)24=6x^2. C) 64x^2-1=0. D)7x^2-14=0​

Answer 1

Olá...

a)

2x² - 98 = 0

2x² = 98

x² = 98/2

x² = 49

x = ± $\sqrt{49}$

x = ± 7

x' = 7

x" = - 7

S = {7; -7}

b)

24 = 6x²

- 6x² = - 24⇒(- 1)

6x² = 24

x² = 24/6

x² = ±$\sqrt{4}$

x = ± 2

x' = 2

x" = - 2

S = {2; - 2)

c)

64x² - 1 = 0

64x² = 1

x² = 1/64

x = ± $\sqrt{\frac{1}{64} }$

x = ± 1/8

x' = 1/8

x" = - 1/8

S = {1/8; - 1/8}

d)

7x² - 14 = 0

7x² = 14

x² = 14/7

x = ± $\sqrt{\frac{14}{7} }$

x ' = $\sqrt{\frac{14}{7} }$

x" = $-\sqrt{\frac{14}{7} }$

S = {√14/7: - √14/7}

Espero ter ajudado ​