7x^2=252 eching

$$7 x ^ { 2 } = 252$$

x uchun yechish

$$x=6$$

$$x=-6$$

Kvadratlar farqidan foydalangan qadamlar

Ikki tarafini 7 ga bo‘ling.

$$x^{2}=\frac{252}{7}$$

36 ni olish uchun 252 ni 7 ga bo‘ling.

$$x^{2}=36$$

Ikkala tarafdan 36 ni ayirish.

$$x^{2}-36=0$$

Hisoblang: x^{2}-36. x^{2}-36 ni x^{2}-6^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-6\right)\left(x+6\right)=0$$

Tenglamani yechish uchun x-6=0 va x+6=0 ni yeching.

$$x=6 x=-6$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 7 ga bo‘ling.

$$x^{2}=\frac{252}{7}$$

36 ni olish uchun 252 ni 7 ga bo‘ling.

$$x^{2}=36$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=6 x=-6$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 7 ga bo‘ling.

$$x^{2}=\frac{252}{7}$$

36 ni olish uchun 252 ni 7 ga bo‘ling.

$$x^{2}=36$$

Ikkala tarafdan 36 ni ayirish.

$$x^{2}-36=0$$

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 -36 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-36\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-36\right)}}{2}$$

-4 ni -36 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{144}}{2}$$

144 ning kvadrat ildizini chiqarish.

$$x=\frac{0±12}{2}$$

x=\frac{0±12}{2} tenglamasini yeching, bunda ± musbat. 12 ni 2 ga bo'lish.

$$x=6$$

x=\frac{0±12}{2} tenglamasini yeching, bunda ± manfiy. -12 ni 2 ga bo'lish.

$$x=-6$$

Tenglama yechildi.

$$x=6 x=-6$$