Whakaoti i te 12=x+5/sqrt{3}

$$12 = \frac { x + 5 } { \sqrt { 3 } }$$

Whakaoti mō x

$$x=12\sqrt{3}-5\approx 15.784609691$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakangāwaritia te tauraro o \frac{x+5}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$12=\frac{\left(x+5\right)\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$12=\frac{\left(x+5\right)\sqrt{3}}{3}$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+5 ki te \sqrt{3}.

$$12=\frac{x\sqrt{3}+5\sqrt{3}}{3}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{x\sqrt{3}+5\sqrt{3}}{3}=12$$

Me whakarea ngā taha e rua ki te 3.

$$x\sqrt{3}+5\sqrt{3}=12\times 3$$

Whakareatia te 12 ki te 3, ka 36.

$$x\sqrt{3}+5\sqrt{3}=36$$

Tangohia te 5\sqrt{3} mai i ngā taha e rua.

$$x\sqrt{3}=36-5\sqrt{3}$$

He hanga arowhānui tō te whārite.

$$\sqrt{3}x=36-5\sqrt{3}$$

Whakawehea ngā taha e rua ki te \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{36-5\sqrt{3}}{\sqrt{3}}$$

Mā te whakawehe ki te \sqrt{3} ka wetekia te whakareanga ki te \sqrt{3}.

$$x=\frac{36-5\sqrt{3}}{\sqrt{3}}$$

Whakawehe 36-5\sqrt{3} ki te \sqrt{3}.

$$x=12\sqrt{3}-5$$