1 - (4-x)/(x+2) = x/(x+2) - (5+2x)/(x+2)
Kan noen hjelpe meg med dette?
Ligning
Moderatorer: Aleks855, Gustav, Nebuchadnezzar, Janhaa, DennisChristensen, Emilga
Løsning:
1-(4-x)/(x+2) = x/(x+2)-(5+2x)/(x+2)
x+2-4+x = x-5-2x
2x-2 = -x+5
3x = -3
x = -1
Kontroll:
1-(4-x)/(x+2) = x/(x+2)-(5+2x)/(x+2) | x=-1
1-(4--1)/(-1+2) = -1/(-1+2)-(5+2*(-1))/(-1+2)
1-5 = -1-3
-4 =-4
1-(4-x)/(x+2) = x/(x+2)-(5+2x)/(x+2)
x+2-4+x = x-5-2x
2x-2 = -x+5
3x = -3
x = -1
Kontroll:
1-(4-x)/(x+2) = x/(x+2)-(5+2x)/(x+2) | x=-1
1-(4--1)/(-1+2) = -1/(-1+2)-(5+2*(-1))/(-1+2)
1-5 = -1-3
-4 =-4
Løs likningen:
1 - (4-x)/(x+2) = x/(x+2) - (5+2x)/(x+2)
1(x+2)/x+2 - (4-x)/(x+2) - x/(x+2) + (5+2x)/(x+2)=0
(x + 2 - 4 + x - x + 5 + 2x)/(x+2)=0
(3x + 3)/(x + 2) = 0
3 (x + 1)/(x + 2) = 0
Svar: x = -1 (Her det en feil, men jeg har ikke tid til å finne feilen, svaret skal være 1/4).... Skal se på det senere....
1 - (4-x)/(x+2) = x/(x+2) - (5+2x)/(x+2)
1(x+2)/x+2 - (4-x)/(x+2) - x/(x+2) + (5+2x)/(x+2)=0
(x + 2 - 4 + x - x + 5 + 2x)/(x+2)=0
(3x + 3)/(x + 2) = 0
3 (x + 1)/(x + 2) = 0
Svar: x = -1 (Her det en feil, men jeg har ikke tid til å finne feilen, svaret skal være 1/4).... Skal se på det senere....
Løs likningen:
1 - (4-x)/(x+2) = x/(x+2) - (5+2x)/(x+2)
1(x+2)/x+2 - (4-x)/(x+2) - x/(x+2) + (5+2x)/(x+2)=0
(x + 2 - 4 + x - x + 5 + 2x)/(x+2)=0
(3x + 3)/(x + 2) = 0
3 (x + 1)/(x + 2) = 0
Svar: x = -1
1 - (4-x)/(x+2) = x/(x+2) - (5+2x)/(x+2)
1(x+2)/x+2 - (4-x)/(x+2) - x/(x+2) + (5+2x)/(x+2)=0
(x + 2 - 4 + x - x + 5 + 2x)/(x+2)=0
(3x + 3)/(x + 2) = 0
3 (x + 1)/(x + 2) = 0
Svar: x = -1
Løs likningen:
1 - (4-x)/(x+2) = x/(x+2) - (5+2x)/(x+2)
1(x+2)/(x+2) - (4-x)/(x+2) - x/(x+2) + (5+2x)/(x+2)=0
(x + 2 - 4 + x - x + 5 + 2x)/(x+2)=0
(3x + 3)/(x + 2) = 0
3 (x + 1)/(x + 2) = 0
Svar: x = -1
1 - (4-x)/(x+2) = x/(x+2) - (5+2x)/(x+2)
1(x+2)/(x+2) - (4-x)/(x+2) - x/(x+2) + (5+2x)/(x+2)=0
(x + 2 - 4 + x - x + 5 + 2x)/(x+2)=0
(3x + 3)/(x + 2) = 0
3 (x + 1)/(x + 2) = 0
Svar: x = -1