2x^2-46=80 eching

$$2 x ^ { 2 } - 46 = 80$$

x uchun yechish

$$x=3\sqrt{7}\approx 7,937253933$$

$$x=-3\sqrt{7}\approx -7,937253933$$

Kvadrat ildizini topish bo'yicha qadamlar

46 ni ikki tarafga qo’shing.

$$2x^{2}=80+46$$

126 olish uchun 80 va 46'ni qo'shing.

$$2x^{2}=126$$

Ikki tarafini 2 ga bo‘ling.

$$x^{2}=\frac{126}{2}$$

63 ni olish uchun 126 ni 2 ga bo‘ling.

$$x^{2}=63$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=3\sqrt{7} x=-3\sqrt{7}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 80 ni ayirish.

$$2x^{2}-46-80=0$$

-126 olish uchun -46 dan 80 ni ayirish.

$$2x^{2}-126=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 2 ni a, 0 ni b va -126 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-126\right)}}{2\times 2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 2\left(-126\right)}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-8\left(-126\right)}}{2\times 2}$$

-8 ni -126 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{1008}}{2\times 2}$$

1008 ning kvadrat ildizini chiqarish.

$$x=\frac{0±12\sqrt{7}}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±12\sqrt{7}}{4}$$

x=\frac{0±12\sqrt{7}}{4} tenglamasini yeching, bunda ± musbat.

$$x=3\sqrt{7}$$

x=\frac{0±12\sqrt{7}}{4} tenglamasini yeching, bunda ± manfiy.

$$x=-3\sqrt{7}$$

Tenglama yechildi.

$$x=3\sqrt{7} x=-3\sqrt{7}$$