3*x*x=78 eching

$$3 \times x \times x = 78$$

x uchun yechish

$$x=\sqrt{26}\approx 5,099019514$$

$$x=-\sqrt{26}\approx -5,099019514$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$3x^{2}=78$$

Ikki tarafini 3 ga bo‘ling.

$$x^{2}=\frac{78}{3}$$

26 ni olish uchun 78 ni 3 ga bo‘ling.

$$x^{2}=26$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\sqrt{26} x=-\sqrt{26}$$

Kvadrat tenglamalaridan foydalanish qoidalari

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

$$3x^{2}=78$$

Ikkala tarafdan 78 ni ayirish.

$$3x^{2}-78=0$$

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 -78 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-78\right)}}{2\times 3}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 3\left(-78\right)}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-12\left(-78\right)}}{2\times 3}$$

-12 ni -78 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{936}}{2\times 3}$$

936 ning kvadrat ildizini chiqarish.

$$x=\frac{0±6\sqrt{26}}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x=\frac{0±6\sqrt{26}}{6}$$

x=\frac{0±6\sqrt{26}}{6} tenglamasini yeching, bunda ± musbat.

$$x=\sqrt{26}$$

x=\frac{0±6\sqrt{26}}{6} tenglamasini yeching, bunda ± manfiy.

$$x=-\sqrt{26}$$

Tenglama yechildi.

$$x=\sqrt{26} x=-\sqrt{26}$$