x^2=289 eching

$$x ^ { 2 } = 289$$

x uchun yechish

$$x=17$$

$$x=-17$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafdan 289 ni ayirish.

$$x^{2}-289=0$$

Hisoblang: x^{2}-289. x^{2}-289 ni x^{2}-17^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-17\right)\left(x+17\right)=0$$

Tenglamani yechish uchun x-17=0 va x+17=0 ni yeching.

$$x=17 x=-17$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=17 x=-17$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 289 ni ayirish.

$$x^{2}-289=0$$

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 -289 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-289\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-289\right)}}{2}$$

-4 ni -289 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{1156}}{2}$$

1156 ning kvadrat ildizini chiqarish.

$$x=\frac{0±34}{2}$$

x=\frac{0±34}{2} tenglamasini yeching, bunda ± musbat. 34 ni 2 ga bo'lish.

$$x=17$$

x=\frac{0±34}{2} tenglamasini yeching, bunda ± manfiy. -34 ni 2 ga bo'lish.

$$x=-17$$

Tenglama yechildi.

$$x=17 x=-17$$