x^2=625 eching

$${ x }^{ 2 } =625$$

x uchun yechish

$$x=25$$

$$x=-25$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafdan 625 ni ayirish.

$$x^{2}-625=0$$

Hisoblang: x^{2}-625. x^{2}-625 ni x^{2}-25^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-25\right)\left(x+25\right)=0$$

Tenglamani yechish uchun x-25=0 va x+25=0 ni yeching.

$$x=25 x=-25$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=25 x=-25$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 625 ni ayirish.

$$x^{2}-625=0$$

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 -625 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-625\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-625\right)}}{2}$$

-4 ni -625 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{2500}}{2}$$

2500 ning kvadrat ildizini chiqarish.

$$x=\frac{0±50}{2}$$

x=\frac{0±50}{2} tenglamasini yeching, bunda ± musbat. 50 ni 2 ga bo'lish.

$$x=25$$

x=\frac{0±50}{2} tenglamasini yeching, bunda ± manfiy. -50 ni 2 ga bo'lish.

$$x=-25$$

Tenglama yechildi.

$$x=25 x=-25$$