18m^2+900=0 eching

$$18 m ^ { 2 } + 900 = 0$$

m uchun yechish

$$m=-5\sqrt{2}i\approx -0-7,071067812i$$

$$m=5\sqrt{2}i\approx 7,071067812i$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 900 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$18m^{2}=-900$$

Ikki tarafini 18 ga bo‘ling.

$$m^{2}=\frac{-900}{18}$$

-50 ni olish uchun -900 ni 18 ga bo‘ling.

$$m^{2}=-50$$

Tenglama yechildi.

$$m=5\sqrt{2}i m=-5\sqrt{2}i$$

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.

$$18m^{2}+900=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 18 ni a, 0 ni b va 900 ni c bilan almashtiring.

$$m=\frac{0±\sqrt{0^{2}-4\times 18\times 900}}{2\times 18}$$

0 kvadratini chiqarish.

$$m=\frac{0±\sqrt{-4\times 18\times 900}}{2\times 18}$$

-4 ni 18 marotabaga ko'paytirish.

$$m=\frac{0±\sqrt{-72\times 900}}{2\times 18}$$

-72 ni 900 marotabaga ko'paytirish.

$$m=\frac{0±\sqrt{-64800}}{2\times 18}$$

-64800 ning kvadrat ildizini chiqarish.

$$m=\frac{0±180\sqrt{2}i}{2\times 18}$$

2 ni 18 marotabaga ko'paytirish.

$$m=\frac{0±180\sqrt{2}i}{36}$$

m=\frac{0±180\sqrt{2}i}{36} tenglamasini yeching, bunda ± musbat.

$$m=5\sqrt{2}i$$

m=\frac{0±180\sqrt{2}i}{36} tenglamasini yeching, bunda ± manfiy.

$$m=-5\sqrt{2}i$$

Tenglama yechildi.

$$m=5\sqrt{2}i m=-5\sqrt{2}i$$