x^2+49=0 eching

$$x ^ { 2 } + 49 = 0$$

x uchun yechish (complex solution)

$$x=-7i$$

$$x=7i$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 49 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$x^{2}=-49$$

Tenglama yechildi.

$$x=7i x=-7i$$

Kvadrat tenglamalaridan foydalanish qoidalari

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

$$x^{2}+49=0$$

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 49 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 49}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 49}}{2}$$

-4 ni 49 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-196}}{2}$$

-196 ning kvadrat ildizini chiqarish.

$$x=\frac{0±14i}{2}$$

x=\frac{0±14i}{2} tenglamasini yeching, bunda ± musbat.

$$x=7i$$

x=\frac{0±14i}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-7i$$

Tenglama yechildi.

$$x=7i x=-7i$$