x^2=3600 eching

$$x ^ { 2 } = 3600$$

x uchun yechish

$$x=60$$

$$x=-60$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafdan 3600 ni ayirish.

$$x^{2}-3600=0$$

Hisoblang: x^{2}-3600. x^{2}-3600 ni x^{2}-60^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-60\right)\left(x+60\right)=0$$

Tenglamani yechish uchun x-60=0 va x+60=0 ni yeching.

$$x=60 x=-60$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=60 x=-60$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 3600 ni ayirish.

$$x^{2}-3600=0$$

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 -3600 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-3600\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-3600\right)}}{2}$$

-4 ni -3600 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{14400}}{2}$$

14400 ning kvadrat ildizini chiqarish.

$$x=\frac{0±120}{2}$$

x=\frac{0±120}{2} tenglamasini yeching, bunda ± musbat. 120 ni 2 ga bo'lish.

$$x=60$$

x=\frac{0±120}{2} tenglamasini yeching, bunda ± manfiy. -120 ni 2 ga bo'lish.

$$x=-60$$

Tenglama yechildi.

$$x=60 x=-60$$