Whakaoti i te x+3/x+4=x+3/x+2

$$\frac { x + 3 } { x + 4 } = \frac { x + 3 } { x + 2 }$$

Whakaoti mō x

$$x=-3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -4,-2 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(x+2\right)\left(x+4\right), arā, te tauraro pātahi he tino iti rawa te kitea o x+4,x+2.

$$\left(x+2\right)\left(x+3\right)=\left(x+4\right)\left(x+3\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x+2 ki te x+3 ka whakakotahi i ngā kupu rite.

$$x^{2}+5x+6=\left(x+4\right)\left(x+3\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te x+4 ki te x+3 ka whakakotahi i ngā kupu rite.

$$x^{2}+5x+6=x^{2}+7x+12$$

Tangohia te x^{2} mai i ngā taha e rua.

$$x^{2}+5x+6-x^{2}=7x+12$$

Pahekotia te x^{2} me -x^{2}, ka 0.

$$5x+6=7x+12$$

Tangohia te 7x mai i ngā taha e rua.

$$5x+6-7x=12$$

Pahekotia te 5x me -7x, ka -2x.

$$-2x+6=12$$

Tangohia te 6 mai i ngā taha e rua.

$$-2x=12-6$$

Tangohia te 6 i te 12, ka 6.

$$-2x=6$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{6}{-2}$$

Whakawehea te 6 ki te -2, kia riro ko -3.

$$x=-3$$