Question

cele incercuite !Dau coroana si 22 de puncte!Va rog daca ati putea sa trimite ti o fotografie cu ecuatiile rezolvate

Answer 1

2.

4x+5=2x+9

4x-2x=9-5

2x=4

x=2

b) 5x-6=3x+8

5x-3x=6+8

2x=14

x=7

c)

2,6x-2=1,1x+2,5

2,6x-1,1x=2,5+2

1,5x=4,5

x=3

d)

1,(6)x-3=0,(3)

1,(6)=(16-1)/90=15/90=1/6

0,(3)=3/9=1/3

(1/6)×x - 3 = 1/3

x-3×6=1×2

x=2+18

x=20

e)

2(x-3)=1,8

2x-6=1,8

2x=7,8

x=3,9

f)

3(x+1)=1,5

3x+3=1,5

3x=1,5-3

3x=-1,5

x= - 0,5=-5/10=-1/2

g) 

4(x+1)-3x=9

4x+4-3x=9

x=9+4

x=13

h)

5(x-2)=3x+4

5x-10=3x+4

5x-3x=4+10

2x=14

x=7

3.

b. √3(x-1)=√27

3(x²-2x+1)=27

3x²-6x+3=27

3x²-6x-24=0

x²-2x-8=0

Δ=b²-4ac=4+32=36

x₁=(2+6)/2=4

x₂=(2-6)/2= - 2

d)
3(x+√7)=2√63
9(x+√7)²=4×63
(x+√7)²=28
(x+√7)²=2²×(√7)²
x+√7=2√7
x = √7

4.

a) 3(x+3)=2(x+5)

3x+9=2x+10

3x-2x=10-9

x=1

b)

4(x-5)=2(x+4)

4x-20=2x+8

4x-2x=8+20

2x=28

x=14

c)

2(2x-1)=6(x+5)

4x-2=6x+30

-2-30=6x-4x

-32=2x

x=-16

d)

[tex] ^{2)} \frac{x}{3} + ^{3)} \frac{5}{2} = \frac{x}{6}+ ^{6)}1 \\ \\ 2x+15=x+6 \\ \\ 2x-x=6-15 \\ \\ x=-9[/tex]