Question

Rozwiąż i sprawdz równania

c) |x+1|= 4

d) |x+2|/3=7

e) |x| -7 = 3

f) |x| = 2x - 4

g) | 2x - 1|= x + 1

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na dziś

Answer 1

c) |x+1|= 4

x + 1 = 4 ∧ x + 1 = -4

x = 3 ∧ x = -5

 

|3+1|=4

|-5+1|=4

 

d) |x+2|/3=7

|x+2| = 21

x + 2 = 21 ∧ x + 2 = -21

x = 19 ∧ x = -23

 

|19+2|=21

|-23+2|=21

 

e) |x| -7 = 3

|x| = 10

x = 10 ∧ x = -10

 

f) |x| = 2x - 4

x = 2x - 4 ∧ x = -2x +4

x = 4 ∧ x = ⁴/₃

 

|4| = 2*4-4

|⁴/₃| = 2*⁴/₃ - 4

 

g) | 2x - 1|= x + 1

2x - 1 = x + 1 ∧ 2x - 1 = -1-x

x = 2 ∧ x = 0

 

|2*0-1| = 1

|2*2-1|= 3