x^2+4=25 eching

$$x ^ { 2 } + 4 = 25$$

x uchun yechish

$$x=\sqrt{21}\approx 4,582575695$$

$$x=-\sqrt{21}\approx -4,582575695$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 4 ni ayirish.

$$x^{2}=25-4$$

21 olish uchun 25 dan 4 ni ayirish.

$$x^{2}=21$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\sqrt{21} x=-\sqrt{21}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 25 ni ayirish.

$$x^{2}+4-25=0$$

-21 olish uchun 4 dan 25 ni ayirish.

$$x^{2}-21=0$$

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 -21 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-21\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-21\right)}}{2}$$

-4 ni -21 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{84}}{2}$$

84 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{21}}{2}$$

x=\frac{0±2\sqrt{21}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\sqrt{21}$$

x=\frac{0±2\sqrt{21}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\sqrt{21}$$

Tenglama yechildi.

$$x=\sqrt{21} x=-\sqrt{21}$$