6^2=x(x*3) eching

$${ 6 }^{ 2 } =x(x \times 3)$$

x uchun yechish

$$x=2\sqrt{3}\approx 3,464101615$$

$$x=-2\sqrt{3}\approx -3,464101615$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$6^{2}=x^{2}\times 3$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$36=x^{2}\times 3$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x^{2}\times 3=36$$

Ikki tarafini 3 ga bo‘ling.

$$x^{2}=\frac{36}{3}$$

12 ni olish uchun 36 ni 3 ga bo‘ling.

$$x^{2}=12$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$6^{2}=x^{2}\times 3$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$36=x^{2}\times 3$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x^{2}\times 3=36$$

Ikkala tarafdan 36 ni ayirish.

$$x^{2}\times 3-36=0$$

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

$$3x^{2}-36=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 3 ni a, 0 ni b va -36 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-36\right)}}{2\times 3}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 3\left(-36\right)}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-12\left(-36\right)}}{2\times 3}$$

-12 ni -36 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{432}}{2\times 3}$$

432 ning kvadrat ildizini chiqarish.

$$x=\frac{0±12\sqrt{3}}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±12\sqrt{3}}{6}$$

x=\frac{0±12\sqrt{3}}{6} tenglamasini yeching, bunda ± musbat.

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

x=\frac{0±12\sqrt{3}}{6} tenglamasini yeching, bunda ± manfiy.

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

Tenglama yechildi.

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