r^2=(-83)^2 eching

$$r ^ { 2 } = ( - 83 ) ^ { 2 }$$

r uchun yechish

$$r=83$$

$$r=-83$$

Kvadratlar farqidan foydalangan qadamlar

2 daraja ko‘rsatkichini -83 ga hisoblang va 6889 ni qiymatni oling.

$$r^{2}=6889$$

Ikkala tarafdan 6889 ni ayirish.

$$r^{2}-6889=0$$

Hisoblang: r^{2}-6889. r^{2}-6889 ni r^{2}-83^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(r-83\right)\left(r+83\right)=0$$

Tenglamani yechish uchun r-83=0 va r+83=0 ni yeching.

$$r=83 r=-83$$

Kvadrat ildizini topish bo'yicha qadamlar

2 daraja ko‘rsatkichini -83 ga hisoblang va 6889 ni qiymatni oling.

$$r^{2}=6889$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$r=83 r=-83$$

Kvadrat tenglamalaridan foydalanish qoidalari

2 daraja ko‘rsatkichini -83 ga hisoblang va 6889 ni qiymatni oling.

$$r^{2}=6889$$

Ikkala tarafdan 6889 ni ayirish.

$$r^{2}-6889=0$$

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 -6889 ni c bilan almashtiring.

$$r=\frac{0±\sqrt{0^{2}-4\left(-6889\right)}}{2}$$

0 kvadratini chiqarish.

$$r=\frac{0±\sqrt{-4\left(-6889\right)}}{2}$$

-4 ni -6889 marotabaga ko'paytirish.

$$r=\frac{0±\sqrt{27556}}{2}$$

27556 ning kvadrat ildizini chiqarish.

$$r=\frac{0±166}{2}$$

r=\frac{0±166}{2} tenglamasini yeching, bunda ± musbat. 166 ni 2 ga bo'lish.

$$r=83$$

r=\frac{0±166}{2} tenglamasini yeching, bunda ± manfiy. -166 ni 2 ga bo'lish.

$$r=-83$$

Tenglama yechildi.

$$r=83 r=-83$$