x^2-frac{sqrt{2}}{2}x+1 eching

$${ x }^{ 2 } - \frac{ \sqrt{ 2 } }{ 2 } x+1$$

Baholash

$$x^{2}-\frac{\sqrt{2}x}{2}+1$$

Qisqa yechim qadamlari

\frac{\sqrt{2}}{2}x ni yagona kasrga aylantiring.

$$x^{2}-\frac{\sqrt{2}x}{2}+1$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{2x^{2}}{2}-\frac{\sqrt{2}x}{2}+1$$

\frac{2x^{2}}{2} va \frac{\sqrt{2}x}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2x^{2}-\sqrt{2}x}{2}+1$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{2x^{2}-\sqrt{2}x}{2}+\frac{2}{2}$$

\frac{2x^{2}-\sqrt{2}x}{2} va \frac{2}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2x^{2}-\sqrt{2}x+2}{2}$$

Omil

$$\frac{\sqrt{2}\left(\sqrt{2}x^{2}-x+\sqrt{2}\right)}{2}$$

Yechim qadamlari

\frac{1}{2} omili.

$$\frac{2x^{2}-\sqrt{2}x+2}{2}$$

Hisoblang: 2x^{2}-\sqrt{2}x+2. \sqrt{2} omili.

$$\sqrt{2}\left(\sqrt{2}x^{2}-x+\sqrt{2}\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli \sqrt{2}x^{2}-x+\sqrt{2} faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

$$\frac{\sqrt{2}\left(\sqrt{2}x^{2}-x+\sqrt{2}\right)}{2}$$