2x-1/x=0 eching

$$2 x - \frac { 1 } { x } = 0$$

x uchun yechish

$$x=\frac{\sqrt{2}}{2}\approx 0,707106781$$

$$x=-\frac{\sqrt{2}}{2}\approx -0,707106781$$

Kvadrat ildizini topish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$2xx-1=0$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$2x^{2}-1=0$$

1 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$2x^{2}=1$$

Ikki tarafini 2 ga bo‘ling.

$$x^{2}=\frac{1}{2}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{2}}{2} x=-\frac{\sqrt{2}}{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$2xx-1=0$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$2x^{2}-1=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 2 ni a, 0 ni b va -1 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-1\right)}}{2\times 2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 2\left(-1\right)}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-8\left(-1\right)}}{2\times 2}$$

-8 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{8}}{2\times 2}$$

8 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{2}}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{2}}{4}$$

x=\frac{0±2\sqrt{2}}{4} tenglamasini yeching, bunda ± musbat.

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

x=\frac{0±2\sqrt{2}}{4} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{2}}{2}$$

Tenglama yechildi.

$$x=\frac{\sqrt{2}}{2} x=-\frac{\sqrt{2}}{2}$$