Whakaoti mō x
x=12
Graph
Pātaitai
Linear Equation
5 raruraru e ōrite ana ki:
\frac { 2 x + 1 } { x - 2 } = \frac { 2 x + 6 } { x }
Tohaina
Kua tāruatia ki te papatopenga
x\left(2x+1\right)=\left(x-2\right)\left(2x+6\right)
Tē taea kia ōrite te tāupe x ki tētahi o ngā uara 0,2 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te x\left(x-2\right), arā, te tauraro pātahi he tino iti rawa te kitea o x-2,x.
2x^{2}+x=\left(x-2\right)\left(2x+6\right)
Whakamahia te āhuatanga tohatoha hei whakarea te x ki te 2x+1.
2x^{2}+x=2x^{2}+2x-12
Whakamahia te āhuatanga tuaritanga hei whakarea te x-2 ki te 2x+6 ka whakakotahi i ngā kupu rite.
2x^{2}+x-2x^{2}=2x-12
Tangohia te 2x^{2} mai i ngā taha e rua.
x=2x-12
Pahekotia te 2x^{2} me -2x^{2}, ka 0.
x-2x=-12
Tangohia te 2x mai i ngā taha e rua.
-x=-12
Pahekotia te x me -2x, ka -x.
x=12
Me whakarea ngā taha e rua ki te -1.
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