Whakaoti i te 24+x=18sqrt{2}+sqrt{2}x

$$24+x=18 \sqrt{ 2 } + \sqrt{ 2 } x$$

Whakaoti mō x

$$x=6\left(\sqrt{2}-2\right)\approx -3.514718626$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$24+x-\sqrt{2}x=18\sqrt{2}$$

Tangohia te 24 mai i ngā taha e rua.

$$x-\sqrt{2}x=18\sqrt{2}-24$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(1-\sqrt{2}\right)x=18\sqrt{2}-24$$

Whakawehea ngā taha e rua ki te 1-\sqrt{2}.

$$\frac{\left(1-\sqrt{2}\right)x}{1-\sqrt{2}}=\frac{18\sqrt{2}-24}{1-\sqrt{2}}$$

Mā te whakawehe ki te 1-\sqrt{2} ka wetekia te whakareanga ki te 1-\sqrt{2}.

$$x=\frac{18\sqrt{2}-24}{1-\sqrt{2}}$$

Whakawehe 18\sqrt{2}-24 ki te 1-\sqrt{2}.

$$x=6\sqrt{2}-12$$