3x*x=342 eching

$$3x \times x=342$$

x uchun yechish

$$x=\sqrt{114}\approx 10,677078252$$

$$x=-\sqrt{114}\approx -10,677078252$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$3x^{2}=342$$

Ikki tarafini 3 ga bo‘ling.

$$x^{2}=\frac{342}{3}$$

114 ni olish uchun 342 ni 3 ga bo‘ling.

$$x^{2}=114$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\sqrt{114} x=-\sqrt{114}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$3x^{2}=342$$

Ikkala tarafdan 342 ni ayirish.

$$3x^{2}-342=0$$

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 -342 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-342\right)}}{2\times 3}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 3\left(-342\right)}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-12\left(-342\right)}}{2\times 3}$$

-12 ni -342 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{4104}}{2\times 3}$$

4104 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6\sqrt{114}}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±6\sqrt{114}}{6}$$

x=\frac{0±6\sqrt{114}}{6} tenglamasini yeching, bunda ± musbat.

$$x=\sqrt{114}$$

x=\frac{0±6\sqrt{114}}{6} tenglamasini yeching, bunda ± manfiy.

$$x=-\sqrt{114}$$

Tenglama yechildi.

$$x=\sqrt{114} x=-\sqrt{114}$$