x^2+89+206=395 eching

$$x ^ { 2 } + 89 + 206 = 395$$

x uchun yechish

$$x=10$$

$$x=-10$$

Kvadratlar farqidan foydalangan qadamlar

295 olish uchun 89 va 206'ni qo'shing.

$$x^{2}+295=395$$

Ikkala tarafdan 395 ni ayirish.

$$x^{2}+295-395=0$$

-100 olish uchun 295 dan 395 ni ayirish.

$$x^{2}-100=0$$

Hisoblang: x^{2}-100. x^{2}-100 ni x^{2}-10^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-10\right)\left(x+10\right)=0$$

Tenglamani yechish uchun x-10=0 va x+10=0 ni yeching.

$$x=10 x=-10$$

Kvadrat ildizini topish bo'yicha qadamlar

295 olish uchun 89 va 206'ni qo'shing.

$$x^{2}+295=395$$

Ikkala tarafdan 295 ni ayirish.

$$x^{2}=395-295$$

100 olish uchun 395 dan 295 ni ayirish.

$$x^{2}=100$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=10 x=-10$$

Kvadrat tenglamalaridan foydalanish qoidalari

295 olish uchun 89 va 206'ni qo'shing.

$$x^{2}+295=395$$

Ikkala tarafdan 395 ni ayirish.

$$x^{2}+295-395=0$$

-100 olish uchun 295 dan 395 ni ayirish.

$$x^{2}-100=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -100 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-100\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-100\right)}}{2}$$

-4 ni -100 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{400}}{2}$$

400 ning kvadrat ildizini chiqarish.

$$x=\frac{0±20}{2}$$

x=\frac{0±20}{2} tenglamasini yeching, bunda ± musbat. 20 ni 2 ga bo'lish.

$$x=10$$

x=\frac{0±20}{2} tenglamasini yeching, bunda ± manfiy. -20 ni 2 ga bo'lish.

$$x=-10$$

Tenglama yechildi.

$$x=10 x=-10$$