a^2=100 eching

$$a ^ { 2 } = 100$$

a uchun yechish

$$a=10$$

$$a=-10$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafdan 100 ni ayirish.

$$a^{2}-100=0$$

Hisoblang: a^{2}-100. a^{2}-100 ni a^{2}-10^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(a-10\right)\left(a+10\right)=0$$

Tenglamani yechish uchun a-10=0 va a+10=0 ni yeching.

$$a=10 a=-10$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$a=10 a=-10$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 100 ni ayirish.

$$a^{2}-100=0$$

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 -100 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\left(-100\right)}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\left(-100\right)}}{2}$$

-4 ni -100 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{400}}{2}$$

400 ning kvadrat ildizini chiqarish.

$$a=\frac{0±20}{2}$$

a=\frac{0±20}{2} tenglamasini yeching, bunda ± musbat. 20 ni 2 ga bo'lish.

$$a=10$$

a=\frac{0±20}{2} tenglamasini yeching, bunda ± manfiy. -20 ni 2 ga bo'lish.

$$a=-10$$

Tenglama yechildi.

$$a=10 a=-10$$