7x^2+6div2=8 eching

$$7 x ^ { 2 } + 6 \div 2 = 8$$

x uchun yechish

$$x=\frac{\sqrt{35}}{7}\approx 0,845154255$$

$$x=-\frac{\sqrt{35}}{7}\approx -0,845154255$$

Kvadrat ildizini topish bo'yicha qadamlar

3 ni olish uchun 6 ni 2 ga bo‘ling.

$$7x^{2}+3=8$$

Ikkala tarafdan 3 ni ayirish.

$$7x^{2}=8-3$$

5 olish uchun 8 dan 3 ni ayirish.

$$7x^{2}=5$$

Ikki tarafini 7 ga bo‘ling.

$$x^{2}=\frac{5}{7}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{35}}{7} x=-\frac{\sqrt{35}}{7}$$

Kvadrat tenglamalaridan foydalanish qoidalari

3 ni olish uchun 6 ni 2 ga bo‘ling.

$$7x^{2}+3=8$$

Ikkala tarafdan 8 ni ayirish.

$$7x^{2}+3-8=0$$

-5 olish uchun 3 dan 8 ni ayirish.

$$7x^{2}-5=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 7 ni a, 0 ni b va -5 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 7\left(-5\right)}}{2\times 7}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 7\left(-5\right)}}{2\times 7}$$

-4 ni 7 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-28\left(-5\right)}}{2\times 7}$$

-28 ni -5 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{140}}{2\times 7}$$

140 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{35}}{2\times 7}$$

2 ni 7 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{35}}{14}$$

x=\frac{0±2\sqrt{35}}{14} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{35}}{7}$$

x=\frac{0±2\sqrt{35}}{14} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{35}}{7}$$

Tenglama yechildi.

$$x=\frac{\sqrt{35}}{7} x=-\frac{\sqrt{35}}{7}$$