5x*5x=10 eching

$$5x \times 5x=10$$

x uchun yechish

$$x=\frac{\sqrt{10}}{5}\approx 0,632455532$$

$$x=-\frac{\sqrt{10}}{5}\approx -0,632455532$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$5x^{2}\times 5=10$$

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$25x^{2}=10$$

Ikki tarafini 25 ga bo‘ling.

$$x^{2}=\frac{10}{25}$$

\frac{10}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{2}{5}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{10}}{5} x=-\frac{\sqrt{10}}{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$5x^{2}\times 5=10$$

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$25x^{2}=10$$

Ikkala tarafdan 10 ni ayirish.

$$25x^{2}-10=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 25 ni a, 0 ni b va -10 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 25\left(-10\right)}}{2\times 25}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 25\left(-10\right)}}{2\times 25}$$

-4 ni 25 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-100\left(-10\right)}}{2\times 25}$$

-100 ni -10 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{1000}}{2\times 25}$$

1000 ning kvadrat ildizini chiqarish.

$$x=\frac{0±10\sqrt{10}}{2\times 25}$$

2 ni 25 marotabaga ko'paytirish.

$$x=\frac{0±10\sqrt{10}}{50}$$

x=\frac{0±10\sqrt{10}}{50} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{10}}{5}$$

x=\frac{0±10\sqrt{10}}{50} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{10}}{5}$$

Tenglama yechildi.

$$x=\frac{\sqrt{10}}{5} x=-\frac{\sqrt{10}}{5}$$