m^2-121=0 eching

$$m ^ { 2 } - 121 = 0$$

m uchun yechish

$$m=11$$

$$m=-11$$

Kvadratlar farqidan foydalangan qadamlar

Hisoblang: m^{2}-121. m^{2}-121 ni m^{2}-11^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(m-11\right)\left(m+11\right)=0$$

Tenglamani yechish uchun m-11=0 va m+11=0 ni yeching.

$$m=11 m=-11$$

Kvadrat ildizini topish bo'yicha qadamlar

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

$$m^{2}=121$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$m=11 m=-11$$

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.

$$m^{2}-121=0$$

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 -121 ni c bilan almashtiring.

$$m=\frac{0±\sqrt{0^{2}-4\left(-121\right)}}{2}$$

0 kvadratini chiqarish.

$$m=\frac{0±\sqrt{-4\left(-121\right)}}{2}$$

-4 ni -121 marotabaga ko'paytirish.

$$m=\frac{0±\sqrt{484}}{2}$$

484 ning kvadrat ildizini chiqarish.

$$m=\frac{0±22}{2}$$

m=\frac{0±22}{2} tenglamasini yeching, bunda ± musbat. 22 ni 2 ga bo'lish.

$$m=11$$

m=\frac{0±22}{2} tenglamasini yeching, bunda ± manfiy. -22 ni 2 ga bo'lish.

$$m=-11$$

Tenglama yechildi.

$$m=11 m=-11$$