Question

rezolvati in multimea numerelor reale ecuatia |2x-1|=|x+7|

Answer 1

|2x-1|=|x+7|

2x-1=0

x=0,5

x+7=0

x=-7

1.x∈(-∞;-7)

2x-1=-x-7

2x+x=-7+1

3x=-6

x=-2⇒x∈(-∞;-7)

2.x∈[-7;0,5)

1-2x=x+7

-2x-x=7-1

-3x=6

x=-2⇒x∈[-7;0,5)

3.x∈[0,5;+∞)

2x-1=x+7

2x-x=7+1

x=8∈[0,5;+∞)

Raspuns:S=x₁=-2;x₂=8

Bafta!

Answer 2

....................