Question

a)x/3=8
b)3x/7=21
c)x/2+1=6
d)2x+x=7-10x
e)2x+1/5=1
f)x-3/11=2
g)3x-17/2=8
h)8x+5/3=-1
i)4(x-6)=-3
j)3(2x-1)=-2x(x+3)

Answer 1

a) x = 3.8 = 24
b)3x= 147 = x = 147/ 3 = 49
c)x/2=6-1 = x/2 = 5 = 10
d) 3x + 10x = 7 => x = 7/13
e) 10x + 1 = 5 => 10x = 4 >> x = 4/10 = 2/5
f) x -3 = 22 >> x = 25
g)6x - 17 = 16 >> 6x = 33 >> x = 33/6 = 11/2
h) 24x+5=-3>> 24x=-8 >> x = -8/24 = -1/3
i) 4x-24=-3 >> 4x = 21 >> x = 21/4
j) 6x - 3 = -2x²-6x
2x² + 12x - 3=0
delta = 144 -4.2(-3)
delta = 168
x= (-12 +- sqrt 168)/2.2
x =( -12 +- 2raiz de 42) / 4
x1 = -3 +( sqrt 42/2)
x2= -3 - (sqrt 42/2)

Answer 2

a)x/3=8
x=24

b) 3x/7=21
3x=147
x=147/3
x= 49

c)x/2+1=6
x+2=12
x=12-2
x=10

d) 2x+x=7-10x
2x+x+10x=7
13x=7
x=7/13

e) 2x+1/5=1
10x+1=5
10x=5-1
10x=4
x=4/10 :2
x= 2/5

f) x-3/11=2
11x-3=22
11x=22+3
11x=25
x=25/11

g) 3x-17/2=8
6x-17=16
6x=16+17
6x= 33
x=33/6 :3
x= 11/2

h)8x+5/3=-1
24x+5=-3
24x=-3-5
24x=-8
x=-8/24 :8
x= -1/3

i) 4(x-6)=-3
4x-24=-3
4x=-3+24
4x=21
x=21/4

j) 3(2x-1)=-2x(x+3)
6x-3=-2x2 -6x
6x+6x+2x2-3=0
12x+2x2-3=0
2x2+12x-3=0
delta= b2-4ac
delta= (12)2 -4.2.(-3)
delta= 144 +24
delta=168 (não possui raiz exata)