Question

rapid va rog e test am 30m plss helppp

7c95f9a50990815c9675d697d48eeb58.pdf

Answer 1

a) rad (x-4) =7

C. E: x-4>0

x>4

rad (x-4) =7 // ridicam la patrat

x-4=49

x=53

b) rad de ordin 3 din (2x-1)=5. // ridicam la puterea a 3-a

2x-1=5³

2x-1=125

2x=126

x=63

c)7^(x²-x) =49

7^(x²-x)=7²

x²-x=2

x²-x-2=0

delta = 1+4×2

delta=9

x1=(1-3)/2. x2=(1+3)/2

x1=-1. x2=2

d)5^(rad(3x-4))=125

5^(rad(3x-4))=5³

C.E. 3x-4>0

3x>4

x>4/3

rad(3x-4)=3

3x-4=3²

3x-4=9

3x=13

x=13/3

e)2^(x²-4x)=1/8

2^(x²-4x)=2^(-3)

x²-4x=-3

x²-4x+3=0

delta=16-12

delta=4

x1=(4-2)/2. x2=(4+2)/2

x1=1. x2=3

f) rad(x²-4x+4)=3-x

C.E. x²-4x+4>0

( x-2)²>0

x-2>0

x>2

rad(x-2)²=3-x

x-2=3-x

2x=5

x=5/2