Whakaoti i te x^2=3x/sqrt{2}

$$x ^ { 2 } = \frac { 3 x } { \sqrt { 2 } }$$

Whakaoti mō x

$$x = \frac{3 \sqrt{2}}{2} \approx 2.121320344$$

$$x=0$$

Ngā Upane Whakamahi Tauwehe

Whakangāwaritia te tauraro o \frac{3x}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

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

Ko te pūrua o \sqrt{2} ko 2.

$$x^{2}=\frac{3x\sqrt{2}}{2}$$

Tangohia te \frac{3x\sqrt{2}}{2} mai i ngā taha e rua.

$$x^{2}-\frac{3x\sqrt{2}}{2}=0$$

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

$$2x^{2}-3x\sqrt{2}=0$$

Tauwehea te x.

$$x\left(2x-3\sqrt{2}\right)=0$$

Hei kimi otinga whārite, me whakaoti te x=0 me te 2x-3\sqrt{2}=0.

$$x=0 x=\frac{3\sqrt{2}}{2}$$