50*10^{3}=(9*10^9)(80*10^6)(-6*10^-6)/r^2 eching

$$50 \times 10 ^ { 3 } = \frac { ( 9 \times 10 ^ { 9 } ) ( 80 \times 10 ^ { 6 } ) ( - 6 \times 10 ^ { - 6 } ) } { r ^ { 2 } }$$

r uchun yechish

$$r=-2400\sqrt{15}i\approx -0-9295,160030898i$$

$$r=2400\sqrt{15}i\approx 9295,160030898i$$

Kvadrat ildizini topish bo'yicha qadamlar

r qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini r^{2} ga ko'paytirish.

$$50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{6}\left(-6\right)\times 10^{-6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 6 ni qo‘shib, 15 ni oling.

$$50\times 10^{3}r^{2}=9\times 10^{15}\times 80\left(-6\right)\times 10^{-6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 15 va -6 ni qo‘shib, 9 ni oling.

$$50\times 10^{3}r^{2}=9\times 10^{9}\times 80\left(-6\right)$$

3 daraja ko‘rsatkichini 10 ga hisoblang va 1000 ni qiymatni oling.

$$50\times 1000r^{2}=9\times 10^{9}\times 80\left(-6\right)$$

50000 hosil qilish uchun 50 va 1000 ni ko'paytirish.

$$50000r^{2}=9\times 10^{9}\times 80\left(-6\right)$$

9 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000 ni qiymatni oling.

$$50000r^{2}=9\times 1000000000\times 80\left(-6\right)$$

9000000000 hosil qilish uchun 9 va 1000000000 ni ko'paytirish.

$$50000r^{2}=9000000000\times 80\left(-6\right)$$

720000000000 hosil qilish uchun 9000000000 va 80 ni ko'paytirish.

$$50000r^{2}=720000000000\left(-6\right)$$

-4320000000000 hosil qilish uchun 720000000000 va -6 ni ko'paytirish.

$$50000r^{2}=-4320000000000$$

Ikki tarafini 50000 ga bo‘ling.

$$r^{2}=\frac{-4320000000000}{50000}$$

-86400000 ni olish uchun -4320000000000 ni 50000 ga bo‘ling.

$$r^{2}=-86400000$$

Tenglama yechildi.

$$r=2400\sqrt{15}i r=-2400\sqrt{15}i$$

Kvadrat tenglamalaridan foydalanish qoidalari

r qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini r^{2} ga ko'paytirish.

$$50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{6}\left(-6\right)\times 10^{-6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va 6 ni qo‘shib, 15 ni oling.

$$50\times 10^{3}r^{2}=9\times 10^{15}\times 80\left(-6\right)\times 10^{-6}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 15 va -6 ni qo‘shib, 9 ni oling.

$$50\times 10^{3}r^{2}=9\times 10^{9}\times 80\left(-6\right)$$

3 daraja ko‘rsatkichini 10 ga hisoblang va 1000 ni qiymatni oling.

$$50\times 1000r^{2}=9\times 10^{9}\times 80\left(-6\right)$$

50000 hosil qilish uchun 50 va 1000 ni ko'paytirish.

$$50000r^{2}=9\times 10^{9}\times 80\left(-6\right)$$

9 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000 ni qiymatni oling.

$$50000r^{2}=9\times 1000000000\times 80\left(-6\right)$$

9000000000 hosil qilish uchun 9 va 1000000000 ni ko'paytirish.

$$50000r^{2}=9000000000\times 80\left(-6\right)$$

720000000000 hosil qilish uchun 9000000000 va 80 ni ko'paytirish.

$$50000r^{2}=720000000000\left(-6\right)$$

-4320000000000 hosil qilish uchun 720000000000 va -6 ni ko'paytirish.

$$50000r^{2}=-4320000000000$$

4320000000000 ni ikki tarafga qo’shing.

$$50000r^{2}[phone]=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 50000 ni a, 0 ni b va 4320000000000 ni c bilan almashtiring.

$$r=\frac{0±\sqrt{0^{2}-4\times 50000\times 4320000000000}}{2\times 50000}$$

0 kvadratini chiqarish.

$$r=\frac{0±\sqrt{-4\times 50000\times 4320000000000}}{2\times 50000}$$

-4 ni 50000 marotabaga ko'paytirish.

$$r=\frac{0±\sqrt{-200000\times 4320000000000}}{2\times 50000}$$

-200000 ni 4320000000000 marotabaga ko'paytirish.

$$r=\frac{0±\sqrt{-864000000000000000}}{2\times 50000}$$

-864000000000000000 ning kvadrat ildizini chiqarish.

$$r=\frac{0±240000000\sqrt{15}i}{2\times 50000}$$

2 ni 50000 marotabaga ko'paytirish.

$$r=\frac{0±240000000\sqrt{15}i}{100000}$$

r=\frac{0±240000000\sqrt{15}i}{100000} tenglamasini yeching, bunda ± musbat.

$$r=2400\sqrt{15}i$$

r=\frac{0±240000000\sqrt{15}i}{100000} tenglamasini yeching, bunda ± manfiy.

$$r=-2400\sqrt{15}i$$

Tenglama yechildi.

$$r=2400\sqrt{15}i r=-2400\sqrt{15}i$$