Question

Dê o conjunto solução das seguintes equações:
a) x²-49=0
b) 2x²=50
c) x²-1=0
d) 8x²-8=0
e) 4x²-20=0
f) -25+x²=0
g) 7x²+2=30
h) x²+16=0
i)-x²=225
j)-4x²+5=-59
k)3x²+30=0
l)-49+x²=0
m)36=4x²

Answer 1

a) x^2 - 49 = 0
x^2 = 49
x = +,- \/49
x = +,- 7

b) 2x^2 = 50
x^2 = 50/2
x^2 = 25
x = +,- \/25
x = +,- 5

c) x^2 - 1 = 0
x^2 = 1
x = +,- \/1
x = +,- 1

d) 8x^2 - 8 = 0
8x^2 = 8
x^2 = 8/8
x^2 = 1
x= +,- \/1
x= +,- 1

e) 4x^2 - 20 = 0
4x^2 = 20
x^2 = 20/4
x^2 = 5
x = +,- \/5
x = +,- 2,23

f) -25 + x^2 = 0
x^2 = 25
x = +,- \/25
x = +,- 5

g) 7x^2 + 2 = 30
7x^2 = 30 - 2
7x^2 = 28
x^2 = 28/7
x^2 = 4
x = +,- \/4
x = +,- 2

h) x^2 + 16 = 0
x^2 = -16
x = +,- \/ -16 raiz - 16 nao existe

i) - x^2 = 225
x^2 = -225
x = +,- \/-225 raiz de -225 nso existe

j) -4x^2 + 5 = -59
-4x^2 = -59 - 5
-4x^2 = -64
-x^2 = -64/4
- x ^2 = -16 (-1)
x^2 = 16
x = +,- \/16
x = +,- 4

k) 3x^2 +30 = 0
3x^2 = -30
x^2 = -30/3
x^2 = -10
x = +,-\/-10 nao existe

l) -49 + x^2 = 0
x^2 = 49
x = +,- \/49
x = +,- 7

m) 36 = 4x^2
36/4 = x^2
9 = x^2
x = +,- \/9
x = +,- 3