a^2+2=7 eching

$$a ^ { 2 } + 2 = 7$$

a uchun yechish

$$a=\sqrt{5}\approx 2,236067977$$

$$a=-\sqrt{5}\approx -2,236067977$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 2 ni ayirish.

$$a^{2}=7-2$$

5 olish uchun 7 dan 2 ni ayirish.

$$a^{2}=5$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$a=\sqrt{5} a=-\sqrt{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 7 ni ayirish.

$$a^{2}+2-7=0$$

-5 olish uchun 2 dan 7 ni ayirish.

$$a^{2}-5=0$$

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 -5 ni c bilan almashtiring.

$$a=\frac{0±\sqrt{0^{2}-4\left(-5\right)}}{2}$$

0 kvadratini chiqarish.

$$a=\frac{0±\sqrt{-4\left(-5\right)}}{2}$$

-4 ni -5 marotabaga ko'paytirish.

$$a=\frac{0±\sqrt{20}}{2}$$

20 ning kvadrat ildizini chiqarish.

$$a=\frac{0±2\sqrt{5}}{2}$$

a=\frac{0±2\sqrt{5}}{2} tenglamasini yeching, bunda ± musbat.

$$a=\sqrt{5}$$

a=\frac{0±2\sqrt{5}}{2} tenglamasini yeching, bunda ± manfiy.

$$a=-\sqrt{5}$$

Tenglama yechildi.

$$a=\sqrt{5} a=-\sqrt{5}$$