06t-160/3*5*10^-4/4*10^-3t^2=-204 eching

$$06 t - \frac { \frac { 160 } { 3 } \times 5 \times 10 ^ { - 4 } } { 4 \times 10 ^ { - 3 } } t ^ { 2 } = - 204$$

t uchun yechish

$$t = \frac{3 \sqrt{85}}{5} \approx 5,531726674$$

$$t = -\frac{3 \sqrt{85}}{5} \approx -5,531726674$$

Kvadrat ildizini topish bo'yicha qadamlar

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$0t-\frac{\frac{160}{3}\times 5\times 10^{-4}}{4\times 10^{-3}}t^{2}=-204$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0-\frac{\frac{160}{3}\times 5\times 10^{-4}}{4\times 10^{-3}}t^{2}=-204$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$0-\frac{5\times \frac{160}{3}}{4\times 10^{1}}t^{2}=-204$$

\frac{800}{3} hosil qilish uchun 5 va \frac{160}{3} ni ko'paytirish.

$$0-\frac{\frac{800}{3}}{4\times 10^{1}}t^{2}=-204$$

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

$$0-\frac{\frac{800}{3}}{4\times 10}t^{2}=-204$$

40 hosil qilish uchun 4 va 10 ni ko'paytirish.

$$0-\frac{\frac{800}{3}}{40}t^{2}=-204$$

\frac{\frac{800}{3}}{40} ni yagona kasrga aylantiring.

$$0-\frac{800}{3\times 40}t^{2}=-204$$

120 hosil qilish uchun 3 va 40 ni ko'paytirish.

$$0-\frac{800}{120}t^{2}=-204$$

\frac{800}{120} ulushini 40 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$0-\frac{20}{3}t^{2}=-204$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-\frac{20}{3}t^{2}=-204$$

Ikki tarafini -\frac{3}{20} va teskari kasri -\frac{20}{3} ga ko‘paytiring.

$$t^{2}=-204\left(-\frac{3}{20}\right)$$

\frac{153}{5} hosil qilish uchun -204 va -\frac{3}{20} ni ko'paytirish.

$$t^{2}=\frac{153}{5}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$t=\frac{3\sqrt{85}}{5} t=-\frac{3\sqrt{85}}{5}$$

Kvadrat tenglamalaridan foydalanish qoidalari

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$0t-\frac{\frac{160}{3}\times 5\times 10^{-4}}{4\times 10^{-3}}t^{2}=-204$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$0-\frac{\frac{160}{3}\times 5\times 10^{-4}}{4\times 10^{-3}}t^{2}=-204$$

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$0-\frac{5\times \frac{160}{3}}{4\times 10^{1}}t^{2}=-204$$

\frac{800}{3} hosil qilish uchun 5 va \frac{160}{3} ni ko'paytirish.

$$0-\frac{\frac{800}{3}}{4\times 10^{1}}t^{2}=-204$$

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

$$0-\frac{\frac{800}{3}}{4\times 10}t^{2}=-204$$

40 hosil qilish uchun 4 va 10 ni ko'paytirish.

$$0-\frac{\frac{800}{3}}{40}t^{2}=-204$$

\frac{\frac{800}{3}}{40} ni yagona kasrga aylantiring.

$$0-\frac{800}{3\times 40}t^{2}=-204$$

120 hosil qilish uchun 3 va 40 ni ko'paytirish.

$$0-\frac{800}{120}t^{2}=-204$$

\frac{800}{120} ulushini 40 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$0-\frac{20}{3}t^{2}=-204$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-\frac{20}{3}t^{2}=-204$$

204 ni ikki tarafga qo’shing.

$$-\frac{20}{3}t^{2}+204=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} -\frac{20}{3} ni a, 0 ni b va 204 ni c bilan almashtiring.

$$t=\frac{0±\sqrt{0^{2}-4\left(-\frac{20}{3}\right)\times 204}}{2\left(-\frac{20}{3}\right)}$$

0 kvadratini chiqarish.

$$t=\frac{0±\sqrt{-4\left(-\frac{20}{3}\right)\times 204}}{2\left(-\frac{20}{3}\right)}$$

-4 ni -\frac{20}{3} marotabaga ko'paytirish.

$$t=\frac{0±\sqrt{\frac{80}{3}\times 204}}{2\left(-\frac{20}{3}\right)}$$

\frac{80}{3} ni 204 marotabaga ko'paytirish.

$$t=\frac{0±\sqrt{5440}}{2\left(-\frac{20}{3}\right)}$$

5440 ning kvadrat ildizini chiqarish.

$$t=\frac{0±8\sqrt{85}}{2\left(-\frac{20}{3}\right)}$$

2 ni -\frac{20}{3} marotabaga ko'paytirish.

$$t=\frac{0±8\sqrt{85}}{-\frac{40}{3}}$$

t=\frac{0±8\sqrt{85}}{-\frac{40}{3}} tenglamasini yeching, bunda ± musbat.

$$t=-\frac{3\sqrt{85}}{5}$$

t=\frac{0±8\sqrt{85}}{-\frac{40}{3}} tenglamasini yeching, bunda ± manfiy.

$$t=\frac{3\sqrt{85}}{5}$$

Tenglama yechildi.

$$t=-\frac{3\sqrt{85}}{5} t=\frac{3\sqrt{85}}{5}$$