9m^2-36=0 eching

$$9 m ^ { 2 } - 36 = 0$$

m uchun yechish

$$m=2$$

$$m=-2$$

Kvadratlar farqidan foydalangan qadamlar

Ikki tarafini 9 ga bo‘ling.

$$m^{2}-4=0$$

Hisoblang: m^{2}-4. m^{2}-4 ni m^{2}-2^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(m-2\right)\left(m+2\right)=0$$

Tenglamani yechish uchun m-2=0 va m+2=0 ni yeching.

$$m=2 m=-2$$

Kvadrat ildizini topish bo'yicha qadamlar

36 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$9m^{2}=36$$

Ikki tarafini 9 ga bo‘ling.

$$m^{2}=\frac{36}{9}$$

4 ni olish uchun 36 ni 9 ga bo‘ling.

$$m^{2}=4$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$m=2 m=-2$$

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.

$$9m^{2}-36=0$$

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 -36 ni c bilan almashtiring.

$$m=\frac{0±\sqrt{0^{2}-4\times 9\left(-36\right)}}{2\times 9}$$

0 kvadratini chiqarish.

$$m=\frac{0±\sqrt{-4\times 9\left(-36\right)}}{2\times 9}$$

-4 ni 9 marotabaga ko'paytirish.

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

-36 ni -36 marotabaga ko'paytirish.

$$m=\frac{0±\sqrt{1296}}{2\times 9}$$

1296 ning kvadrat ildizini chiqarish.

$$m=\frac{0±36}{2\times 9}$$

2 ni 9 marotabaga ko'paytirish.

$$m=\frac{0±36}{18}$$

m=\frac{0±36}{18} tenglamasini yeching, bunda ± musbat. 36 ni 18 ga bo'lish.

$$m=2$$

m=\frac{0±36}{18} tenglamasini yeching, bunda ± manfiy. -36 ni 18 ga bo'lish.

$$m=-2$$

Tenglama yechildi.

$$m=2 m=-2$$