ដោះស្រាយ 50*10^{3}=(9*10^9)(80*10^66)(-6*10^-6)/r^2

$$50 \times 10 ^ { 3 } = \frac { ( 9 \times 10 ^ { 9 } ) ( 80 \times 10 ^ { 66 } ) ( - 6 \times 10 ^ { - 6 } ) } { r ^ { 2 } }$$

ដោះស្រាយសម្រាប់ r

$$r=-2400000000000000000000000000000000\sqrt{15}i\approx -0-9.295160031 \cdot 10^{33}i$$

$$r=2400000000000000000000000000000000\sqrt{15}i\approx 9.295160031 \cdot 10^{33}i$$

ជំហានដោយការរកឬសការ៉េ

អថេរ r មិនអាចស្មើនឹង 0 បានទេ ដោយសារការចែកនឹងសូន្យមិនត្រូវបានកំណត់។ ធ្វើប្រមាណវិធីគុណជ្រុងទាំងពីរនៃសមីការរដោយ r^{2}។

$$50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{66}\left(-6\right)\times 10^{-6}$$

ដើម្បីគុណស្វ័យគុណនៃគោលដូចគ្នា ត្រូវបូក​និទស្សន្តរបស់ពួកវា។ បូក 9 និង 66 ដើម្បីទទួលបាន 75។

$$50\times 10^{3}r^{2}=9\times 10^{75}\times 80\left(-6\right)\times 10^{-6}$$

ដើម្បីគុណស្វ័យគុណនៃគោលដូចគ្នា ត្រូវបូក​និទស្សន្តរបស់ពួកវា។ បូក 75 និង -6 ដើម្បីទទួលបាន 69។

$$50\times 10^{3}r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

គណនាស្វ័យគុណ 10 នៃ 3 ហើយបាន 1000។

$$50\times 1000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

គុណ 50 និង 1000 ដើម្បីបាន 50000។

$$50000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

គណនាស្វ័យគុណ 10 នៃ 69 ហើយបាន 1000000000000000000000000000000000000000000000000000000000000000000000។

$$50000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

គុណ 9 និង 1000000000000000000000000000000000000000000000000000000000000000000000 ដើម្បីបាន 9000000000000000000000000000000000000000000000000000000000000000000000។

$$50000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

គុណ 9000000000000000000000000000000000000000000000000000000000000000000000 និង 80 ដើម្បីបាន 720000000000000000000000000000000000000000000000000000000000000000000000។

$$50000r^{2}=720000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)$$

គុណ 720000000000000000000000000000000000000000000000000000000000000000000000 និង -6 ដើម្បីបាន -4320000000000000000000000000000000000000000000000000000000000000000000000។

$$50000r^{2}=-4320000000000000000000000000000000000000000000000000000000000000000000000$$

ចែកជ្រុងទាំងពីនឹង 50000។

$$r^{2}=\frac{-4320000000000000000000000000000000000000000000000000000000000000000000000}{50000}$$

ចែក -4320000000000000000000000000000000000000000000000000000000000000000000000 នឹង 50000 ដើម្បីបាន-86400000000000000000000000000000000000000000000000000000000000000000។

$$r^{2}=-86400000000000000000000000000000000000000000000000000000000000000000$$

សមីការរឥឡូវនេះត្រូវបានដោះស្រាយ។

$$r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i$$

ជំហានដោយការប្រើរូបមន្ដកាដ្រាទីក

អថេរ r មិនអាចស្មើនឹង 0 បានទេ ដោយសារការចែកនឹងសូន្យមិនត្រូវបានកំណត់។ ធ្វើប្រមាណវិធីគុណជ្រុងទាំងពីរនៃសមីការរដោយ r^{2}។

$$50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{66}\left(-6\right)\times 10^{-6}$$

ដើម្បីគុណស្វ័យគុណនៃគោលដូចគ្នា ត្រូវបូក​និទស្សន្តរបស់ពួកវា។ បូក 9 និង 66 ដើម្បីទទួលបាន 75។

$$50\times 10^{3}r^{2}=9\times 10^{75}\times 80\left(-6\right)\times 10^{-6}$$

ដើម្បីគុណស្វ័យគុណនៃគោលដូចគ្នា ត្រូវបូក​និទស្សន្តរបស់ពួកវា។ បូក 75 និង -6 ដើម្បីទទួលបាន 69។

$$50\times 10^{3}r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

គណនាស្វ័យគុណ 10 នៃ 3 ហើយបាន 1000។

$$50\times 1000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

គុណ 50 និង 1000 ដើម្បីបាន 50000។

$$50000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

គណនាស្វ័យគុណ 10 នៃ 69 ហើយបាន 1000000000000000000000000000000000000000000000000000000000000000000000។

$$50000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

គុណ 9 និង 1000000000000000000000000000000000000000000000000000000000000000000000 ដើម្បីបាន 9000000000000000000000000000000000000000000000000000000000000000000000។

$$50000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

គុណ 9000000000000000000000000000000000000000000000000000000000000000000000 និង 80 ដើម្បីបាន 720000000000000000000000000000000000000000000000000000000000000000000000។

$$50000r^{2}=720000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)$$

គុណ 720000000000000000000000000000000000000000000000000000000000000000000000 និង -6 ដើម្បីបាន -4320000000000000000000000000000000000000000000000000000000000000000000000។

$$50000r^{2}=-4320000000000000000000000000000000000000000000000000000000000000000000000$$

បន្ថែម 4320000000000000000000000000000000000000000000000000000000000000000000000 ទៅជ្រុងទាំងពីរ។

$$50000r^{2}+4320000000000000000000000000000000000000000000000000000000000000000000000=0$$

សមីការរនេះមានទម្រង់ស្ដង់ដារ៖ ax^{2}+bx+c=0។ ជំនួស 50000 សម្រាប់ a, 0 សម្រាប់ b និង 4320000000000000000000000000000000000000000000000000000000000000000000000 សម្រាប់ c នៅក្នុងរូបមន្តកាដ្រាទីក, \frac{-b±\sqrt{b^{2}-4ac}}{2a}។

$$r=\frac{0±\sqrt{0^{2}-4\times 50000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

ការ៉េ 0។

$$r=\frac{0±\sqrt{-4\times 50000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

គុណ -4 ដង 50000។

$$r=\frac{0±\sqrt{-200000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

គុណ -200000 ដង 4320000000000000000000000000000000000000000000000000000000000000000000000។

$$r=\frac{0±\sqrt{-864000000000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

យកឬសការ៉េនៃ -864000000000000000000000000000000000000000000000000000000000000000000000000000។

$$r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{2\times 50000}$$

គុណ 2 ដង 50000។

$$r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000}$$

ឥឡូវដោះស្រាយសមីការរ r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} នៅពេល ± គឺជាសញ្ញាបូក។

$$r=2400000000000000000000000000000000\sqrt{15}i$$

ឥឡូវដោះស្រាយសមីការរ r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} នៅពេល ± គឺជាសញ្ញាដក។

$$r=-2400000000000000000000000000000000\sqrt{15}i$$

សមីការរឥឡូវនេះត្រូវបានដោះស្រាយ។

$$r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i$$