5x*6262x=6 eching

$$5x \times 6262x=6$$

x uchun yechish

$$x=\frac{\sqrt{46965}}{15655}\approx 0,013843123$$

$$x=-\frac{\sqrt{46965}}{15655}\approx -0,013843123$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$5x^{2}\times 6262=6$$

31310 hosil qilish uchun 5 va 6262 ni ko'paytirish.

$$31310x^{2}=6$$

Ikki tarafini 31310 ga bo‘ling.

$$x^{2}=\frac{6}{31310}$$

\frac{6}{31310} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{3}{15655}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{46965}}{15655} x=-\frac{\sqrt{46965}}{15655}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$5x^{2}\times 6262=6$$

31310 hosil qilish uchun 5 va 6262 ni ko'paytirish.

$$31310x^{2}=6$$

Ikkala tarafdan 6 ni ayirish.

$$31310x^{2}-6=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 31310 ni a, 0 ni b va -6 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 31310\left(-6\right)}}{2\times 31310}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 31310\left(-6\right)}}{2\times 31310}$$

-4 ni 31310 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-125240\left(-6\right)}}{2\times 31310}$$

-125240 ni -6 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{751440}}{2\times 31310}$$

751440 ning kvadrat ildizini chiqarish.

$$x=\frac{0±4\sqrt{46965}}{2\times 31310}$$

2 ni 31310 marotabaga ko'paytirish.

$$x=\frac{0±4\sqrt{46965}}{62620}$$

x=\frac{0±4\sqrt{46965}}{62620} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{46965}}{15655}$$

x=\frac{0±4\sqrt{46965}}{62620} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{46965}}{15655}$$

Tenglama yechildi.

$$x=\frac{\sqrt{46965}}{15655} x=-\frac{\sqrt{46965}}{15655}$$