Whakaoti i te u+10/u+1=u-6/u+9

$$\frac { u + 10 } { u + 1 } = \frac { u - 6 } { u + 9 }$$

Whakaoti mō u

$$u=-4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe u ki tētahi o ngā uara -9,-1 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(u+1\right)\left(u+9\right), arā, te tauraro pātahi he tino iti rawa te kitea o u+1,u+9.

$$\left(u+9\right)\left(u+10\right)=\left(u+1\right)\left(u-6\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te u+9 ki te u+10 ka whakakotahi i ngā kupu rite.

$$u^{2}+19u+90=\left(u+1\right)\left(u-6\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te u+1 ki te u-6 ka whakakotahi i ngā kupu rite.

$$u^{2}+19u+90=u^{2}-5u-6$$

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

$$u^{2}+19u+90-u^{2}=-5u-6$$

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

$$19u+90=-5u-6$$

Me tāpiri te 5u ki ngā taha e rua.

$$19u+90+5u=-6$$

Pahekotia te 19u me 5u, ka 24u.

$$24u+90=-6$$

Tangohia te 90 mai i ngā taha e rua.

$$24u=-6-90$$

Tangohia te 90 i te -6, ka -96.

$$24u=-96$$

Whakawehea ngā taha e rua ki te 24.

$$u=\frac{-96}{24}$$

Whakawehea te -96 ki te 24, kia riro ko -4.

$$u=-4$$