5a^2=45 eching

$$5 a ^ { 2 } = 45$$

a uchun yechish

$$a=3$$

$$a=-3$$

Kvadratlar farqidan foydalangan qadamlar

Ikki tarafini 5 ga bo‘ling.

$$a^{2}=\frac{45}{5}$$

9 ni olish uchun 45 ni 5 ga bo‘ling.

$$a^{2}=9$$

Ikkala tarafdan 9 ni ayirish.

$$a^{2}-9=0$$

Hisoblang: a^{2}-9. a^{2}-9 ni a^{2}-3^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(a-3\right)\left(a+3\right)=0$$

Tenglamani yechish uchun a-3=0 va a+3=0 ni yeching.

$$a=3 a=-3$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 5 ga bo‘ling.

$$a^{2}=\frac{45}{5}$$

9 ni olish uchun 45 ni 5 ga bo‘ling.

$$a^{2}=9$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$a=3 a=-3$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 5 ga bo‘ling.

$$a^{2}=\frac{45}{5}$$

9 ni olish uchun 45 ni 5 ga bo‘ling.

$$a^{2}=9$$

Ikkala tarafdan 9 ni ayirish.

$$a^{2}-9=0$$

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 -9 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\left(-9\right)}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\left(-9\right)}}{2}$$

-4 ni -9 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{36}}{2}$$

36 ning kvadrat ildizini chiqarish.

$$a=\frac{0±6}{2}$$

a=\frac{0±6}{2} tenglamasini yeching, bunda ± musbat. 6 ni 2 ga bo'lish.

$$a=3$$

a=\frac{0±6}{2} tenglamasini yeching, bunda ± manfiy. -6 ni 2 ga bo'lish.

$$a=-3$$

Tenglama yechildi.

$$a=3 a=-3$$