x^2=3x/sqrt{2} eching

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

x uchun yechish

$$x = \frac{3 \sqrt{2}}{2} \approx 2,121320344$$

$$x=0$$

Faktorlash qadamlari

\frac{3x}{\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

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

\sqrt{2} kvadrati – 2.

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

Ikkala tarafdan \frac{3x\sqrt{2}}{2} ni ayirish.

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

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

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

x omili.

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

Tenglamani yechish uchun x=0 va 2x-3\sqrt{2}=0 ni yeching.

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