Question

Sa se rezolve urmatoarele ecuatii.

Answer 1

a)2x-3=25

2x=28

x=14

b)3-x=4x²

4x²+x-3=0

delta=1+4×4×3

delta=49

x1=(-1-7)/8. x2=(-1+7)/8

x1=-1. x2=3/4

c)3x+3=x+13

2x=10

x=5

d)6^(3x-1)=6^2(x+2)

3x-1=2x+4

x=5

e)5^2(3x+3)=5^3(x-15)

2(3x+3)=3(x-15)

6x+6=3x-45

3x=-51

x= -17

f)

g)3^(3x+1)×[3²+1]=2430

3^(3x+1)×10=2430

3^(3x+1)=234

3^(3x+1)= 3^5

3x+1=5

3x=4

x=4/3

h)notam 2^3x+3 cu y

si avem y²-12y+32=0

delta=144-4×32

delta=16

y1=(12-4)/2. y2=(12+4)/2

y1=4. y2=8

2^(3x1+3)=2^2. 2^(3x2+3)=2^3

3x1+3=2. 3x2+3=3

3x1=-1. 3x2=0

x1=-1/3. x2=0