18+y^2=9 eching

$$18 + y ^ { 2 } = 9$$

y uchun yechish

$$y=-3i$$

$$y=3i$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 18 ni ayirish.

$$y^{2}=9-18$$

-9 olish uchun 9 dan 18 ni ayirish.

$$y^{2}=-9$$

Tenglama yechildi.

$$y=3i y=-3i$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 9 ni ayirish.

$$18+y^{2}-9=0$$

9 olish uchun 18 dan 9 ni ayirish.

$$9+y^{2}=0$$

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.

$$y^{2}+9=0$$

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.

$$y=\frac{0±\sqrt{0^{2}-4\times 9}}{2}$$

0 kvadratini chiqarish.

$$y=\frac{0±\sqrt{-4\times 9}}{2}$$

-4 ni 9 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{-36}}{2}$$

-36 ning kvadrat ildizini chiqarish.

$$y=\frac{0±6i}{2}$$

y=\frac{0±6i}{2} tenglamasini yeching, bunda ± musbat.

$$y=3i$$

y=\frac{0±6i}{2} tenglamasini yeching, bunda ± manfiy.

$$y=-3i$$

Tenglama yechildi.

$$y=3i y=-3i$$