x*x+4=192 eching

$$x \times x+4=192$$

x uchun yechish

$$x=2\sqrt{47}\approx 13,711309201$$

$$x=-2\sqrt{47}\approx -13,711309201$$

Kvadrat ildizini topish bo'yicha qadamlar

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}+4=192$$

Ikkala tarafdan 4 ni ayirish.

$$x^{2}=192-4$$

188 olish uchun 192 dan 4 ni ayirish.

$$x^{2}=188$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=2\sqrt{47} x=-2\sqrt{47}$$

Kvadrat tenglamalaridan foydalanish qoidalari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$x^{2}+4=192$$

Ikkala tarafdan 192 ni ayirish.

$$x^{2}+4-192=0$$

-188 olish uchun 4 dan 192 ni ayirish.

$$x^{2}-188=0$$

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 -188 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-188\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-188\right)}}{2}$$

-4 ni -188 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{752}}{2}$$

752 ning kvadrat ildizini chiqarish.

$$x=\frac{0±4\sqrt{47}}{2}$$

x=\frac{0±4\sqrt{47}}{2} tenglamasini yeching, bunda ± musbat.

$$x=2\sqrt{47}$$

x=\frac{0±4\sqrt{47}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-2\sqrt{47}$$

Tenglama yechildi.

$$x=2\sqrt{47} x=-2\sqrt{47}$$