-9m^2+1=0 eching

$$- 9 m ^ { 2 } + 1 = 0$$

m uchun yechish

$$m=\frac{1}{3}\approx 0,333333333$$

$$m=-\frac{1}{3}\approx -0,333333333$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 1 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-9m^{2}=-1$$

Ikki tarafini -9 ga bo‘ling.

$$m^{2}=\frac{-1}{-9}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-1}{-9} kasrini \frac{1}{9} ga soddalashtirish mumkin.

$$m^{2}=\frac{1}{9}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$m=\frac{1}{3} m=-\frac{1}{3}$$

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.

$$-9m^{2}+1=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} -9 ni a, 0 ni b va 1 ni c bilan almashtiring.

$$m=\frac{0±\sqrt{0^{2}-4\left(-9\right)}}{2\left(-9\right)}$$

0 kvadratini chiqarish.

$$m=\frac{0±\sqrt{-4\left(-9\right)}}{2\left(-9\right)}$$

-4 ni -9 marotabaga ko'paytirish.

$$m=\frac{0±\sqrt{36}}{2\left(-9\right)}$$

36 ning kvadrat ildizini chiqarish.

$$m=\frac{0±6}{2\left(-9\right)}$$

2 ni -9 marotabaga ko'paytirish.

$$m=\frac{0±6}{-18}$$

m=\frac{0±6}{-18} tenglamasini yeching, bunda ± musbat. \frac{6}{-18} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$m=-\frac{1}{3}$$

m=\frac{0±6}{-18} tenglamasini yeching, bunda ± manfiy. \frac{-6}{-18} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$m=\frac{1}{3}$$

Tenglama yechildi.

$$m=-\frac{1}{3} m=\frac{1}{3}$$