2x^2-10=30 eching

$$2 x ^ { 2 } - 10 = 30$$

x uchun yechish

$$x=2\sqrt{5}\approx 4,472135955$$

$$x=-2\sqrt{5}\approx -4,472135955$$

Kvadrat ildizini topish bo'yicha qadamlar

10 ni ikki tarafga qo’shing.

$$2x^{2}=30+10$$

40 olish uchun 30 va 10'ni qo'shing.

$$2x^{2}=40$$

Ikki tarafini 2 ga bo‘ling.

$$x^{2}=\frac{40}{2}$$

20 ni olish uchun 40 ni 2 ga bo‘ling.

$$x^{2}=20$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=2\sqrt{5} x=-2\sqrt{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 30 ni ayirish.

$$2x^{2}-10-30=0$$

-40 olish uchun -10 dan 30 ni ayirish.

$$2x^{2}-40=0$$

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 -40 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-40\right)}}{2\times 2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 2\left(-40\right)}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-8\left(-40\right)}}{2\times 2}$$

-8 ni -40 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{320}}{2\times 2}$$

320 ning kvadrat ildizini chiqarish.

$$x=\frac{0±8\sqrt{5}}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$x=\frac{0±8\sqrt{5}}{4}$$

x=\frac{0±8\sqrt{5}}{4} tenglamasini yeching, bunda ± musbat.

$$x=2\sqrt{5}$$

x=\frac{0±8\sqrt{5}}{4} tenglamasini yeching, bunda ± manfiy.

$$x=-2\sqrt{5}$$

Tenglama yechildi.

$$x=2\sqrt{5} x=-2\sqrt{5}$$