Whakaoti mō x
x=-15
Graph
Pātaitai
Linear Equation
\frac { 2 } { x + 9 } - \frac { 3 } { x - 9 } = \frac { 2 x } { x ^ { 2 } - 81 }
Tohaina
Kua tāruatia ki te papatopenga
\left(x-9\right)\times 2-\left(x+9\right)\times 3=2x
Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -9,9 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(x-9\right)\left(x+9\right), arā, te tauraro pātahi he tino iti rawa te kitea o x+9,x-9,x^{2}-81.
2x-18-\left(x+9\right)\times 3=2x
Whakamahia te āhuatanga tohatoha hei whakarea te x-9 ki te 2.
2x-18-\left(3x+27\right)=2x
Whakamahia te āhuatanga tohatoha hei whakarea te x+9 ki te 3.
2x-18-3x-27=2x
Hei kimi i te tauaro o 3x+27, kimihia te tauaro o ia taurangi.
-x-18-27=2x
Pahekotia te 2x me -3x, ka -x.
-x-45=2x
Tangohia te 27 i te -18, ka -45.
-x-45-2x=0
Tangohia te 2x mai i ngā taha e rua.
-3x-45=0
Pahekotia te -x me -2x, ka -3x.
-3x=45
Me tāpiri te 45 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.
x=\frac{45}{-3}
Whakawehea ngā taha e rua ki te -3.
x=-15
Whakawehea te 45 ki te -3, kia riro ko -15.
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