64-x^2=0 eching

$$64 - x ^ { 2 } = 0$$

x uchun yechish

$$x=8$$

$$x=-8$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 64 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-x^{2}=-64$$

Ikki tarafini -1 ga bo‘ling.

$$x^{2}=\frac{-64}{-1}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-64}{-1} kasrini 64 ga soddalashtirish mumkin.

$$x^{2}=64$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=8 x=-8$$

Kvadrat tenglamalaridan foydalanish qoidalari

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

$$-x^{2}+64=0$$

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 64 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1\right)\times 64}}{2\left(-1\right)}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-1\right)\times 64}}{2\left(-1\right)}$$

-4 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{4\times 64}}{2\left(-1\right)}$$

4 ni 64 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{256}}{2\left(-1\right)}$$

256 ning kvadrat ildizini chiqarish.

$$x=\frac{0±16}{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±16}{-2}$$

x=\frac{0±16}{-2} tenglamasini yeching, bunda ± musbat. 16 ni -2 ga bo'lish.

$$x=-8$$

x=\frac{0±16}{-2} tenglamasini yeching, bunda ± manfiy. -16 ni -2 ga bo'lish.

$$x=8$$

Tenglama yechildi.

$$x=-8 x=8$$