Whakaoti i te a*frac{sqrt{2}}{2}+a*frac{sqrt{6}}{2}=20

$$a \cdot \frac { \sqrt { 2 } } { 2 } + a \cdot \frac { \sqrt { 6 } } { 2 } = 20$$

Whakaoti mō a

$$a=10\left(\sqrt{6}-\sqrt{2}\right)\approx 10.352761804$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 2.

$$a\sqrt{2}+a\sqrt{6}=40$$

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

$$\left(\sqrt{2}+\sqrt{6}\right)a=40$$

Whakawehea ngā taha e rua ki te \sqrt{2}+\sqrt{6}.

$$\frac{\left(\sqrt{2}+\sqrt{6}\right)a}{\sqrt{2}+\sqrt{6}}=\frac{40}{\sqrt{2}+\sqrt{6}}$$

Mā te whakawehe ki te \sqrt{2}+\sqrt{6} ka wetekia te whakareanga ki te \sqrt{2}+\sqrt{6}.

$$a=\frac{40}{\sqrt{2}+\sqrt{6}}$$

Whakawehe 40 ki te \sqrt{2}+\sqrt{6}.

$$a=10\sqrt{6}-10\sqrt{2}$$