Question

1)resolva as equações e dê raízes 20 pontos
a)(3x+5)²=36
b)(-2x+1)²=49
c)(x|3+6)²=81
d)(2x+1)²=1
e)(x|2 -10)² =100
f)(3-2x)²+36

Answer 1

Boa noite Ana

a)

(3x + 5)² = 36 = 6²

3x + 5 = 6
3x = 6 - 5 = 1
x = 1/3

3x + 5 = -6
3x = -6 - 5
x = -11/3 

b)

(-2x + 1)² = 49 = 7²

-2x + 1 = 7
2x = -6
x = -3

-2x + 1 = -7
2x = 8
x = 4

c)

(2x + 1)² = 1² 

2x + 1 = 1
x = 0

2x + 1 = -1
2x = -2
x = -1

e)

(x/2 - 10)² = 100 = 10²

x/2 - 10 = 10
x/2 = 20
x = 40

x/2 - 10 = -10
x/2 = 0
x = 0

f) 

(3 - 2x)² = 36 = 6²

3 - 2x = 6
2x = -3
x = -3/2

3 - 2x = -6
2x = 9
x = 9/2