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

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

r ପାଇଁ ସମାଧାନ କରନ୍ତୁ

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

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

ବର୍ଗମୂଳ ବାହାର କରିବା ପାଇଁ ପରକୁ ପର ପଦକ୍ଷେପଗୁଡିକ

ଭାରିଏବୁଲ୍‌ r 0 ସହ ସମାନ ହୋଇପାରିବ ନାହିଁ ଯେହେତୁ ଶୂନ୍ୟ ଦ୍ୱାରା ବିଭାଜନ ନିର୍ଦ୍ଧାରିତ ହୋଇନାହିଁ. ସମୀକରଣ ଉଭୟ ପାର୍ଶ୍ୱକୁ r^{2} ଦ୍ୱାରା ଗୁଣନ କରନ୍ତୁ.

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

ସମାନ ଆଧାରର ପାୱାର୍‌ଗୁଡିକ ଗୁଣନ କରିବାକୁ, ସେଗୁଡିକର ଘାତାଙ୍କଗୁଡିକ ଯୋଡନ୍ତୁ. 75 ପାଇବାକୁ 9 ଏବଂ 66 ଯୋଡନ୍ତୁ.

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

ସମାନ ଆଧାରର ପାୱାର୍‌ଗୁଡିକ ଗୁଣନ କରିବାକୁ, ସେଗୁଡିକର ଘାତାଙ୍କଗୁଡିକ ଯୋଡନ୍ତୁ. 69 ପାଇବାକୁ 75 ଏବଂ -6 ଯୋଡନ୍ତୁ.

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

3 ର 10 ପାୱାର୍‌ ହିସାବ କରନ୍ତୁ ଏବଂ 1000 ପ୍ରାପ୍ତ କରନ୍ତୁ.

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

50000 ପ୍ରାପ୍ତ କରିବାକୁ 50 ଏବଂ 1000 ଗୁଣନ କରନ୍ତୁ.

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

69 ର 10 ପାୱାର୍‌ ହିସାବ କରନ୍ତୁ ଏବଂ 1000000000000000000000000000000000000000000000000000000000000000000000 ପ୍ରାପ୍ତ କରନ୍ତୁ.

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

9000000000000000000000000000000000000000000000000000000000000000000000 ପ୍ରାପ୍ତ କରିବାକୁ 9 ଏବଂ 1000000000000000000000000000000000000000000000000000000000000000000000 ଗୁଣନ କରନ୍ତୁ.

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

720000000000000000000000000000000000000000000000000000000000000000000000 ପ୍ରାପ୍ତ କରିବାକୁ 9000000000000000000000000000000000000000000000000000000000000000000000 ଏବଂ 80 ଗୁଣନ କରନ୍ତୁ.

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

-4320000000000000000000000000000000000000000000000000000000000000000000000 ପ୍ରାପ୍ତ କରିବାକୁ 720000000000000000000000000000000000000000000000000000000000000000000000 ଏବଂ -6 ଗୁଣନ କରନ୍ତୁ.

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

ଉଭୟ ପାର୍ଶ୍ୱକୁ 50000 ଦ୍ୱାରା ବିଭାଜନ କରନ୍ତୁ.

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

-86400000000000000000000000000000000000000000000000000000000000000000 ପ୍ରାପ୍ତ କରିବାକୁ -4320000000000000000000000000000000000000000000000000000000000000000000000 କୁ 50000 ଦ୍ୱାରା ବିଭକ୍ତ କରନ୍ତୁ.

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

ବର୍ତ୍ତମାନ ସମୀକରଣ ସମାଧାନ ହୋଇଛି.

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

କ୍ୱାଡ୍ରାଟିକ୍‌ ସୂତ୍ର ବ୍ୟବହାର କରିବା ପଦକ୍ଷେପଗୁଡିକ

ଭାରିଏବୁଲ୍‌ r 0 ସହ ସମାନ ହୋଇପାରିବ ନାହିଁ ଯେହେତୁ ଶୂନ୍ୟ ଦ୍ୱାରା ବିଭାଜନ ନିର୍ଦ୍ଧାରିତ ହୋଇନାହିଁ. ସମୀକରଣ ଉଭୟ ପାର୍ଶ୍ୱକୁ r^{2} ଦ୍ୱାରା ଗୁଣନ କରନ୍ତୁ.

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

ସମାନ ଆଧାରର ପାୱାର୍‌ଗୁଡିକ ଗୁଣନ କରିବାକୁ, ସେଗୁଡିକର ଘାତାଙ୍କଗୁଡିକ ଯୋଡନ୍ତୁ. 75 ପାଇବାକୁ 9 ଏବଂ 66 ଯୋଡନ୍ତୁ.

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

ସମାନ ଆଧାରର ପାୱାର୍‌ଗୁଡିକ ଗୁଣନ କରିବାକୁ, ସେଗୁଡିକର ଘାତାଙ୍କଗୁଡିକ ଯୋଡନ୍ତୁ. 69 ପାଇବାକୁ 75 ଏବଂ -6 ଯୋଡନ୍ତୁ.

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

3 ର 10 ପାୱାର୍‌ ହିସାବ କରନ୍ତୁ ଏବଂ 1000 ପ୍ରାପ୍ତ କରନ୍ତୁ.

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

50000 ପ୍ରାପ୍ତ କରିବାକୁ 50 ଏବଂ 1000 ଗୁଣନ କରନ୍ତୁ.

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

69 ର 10 ପାୱାର୍‌ ହିସାବ କରନ୍ତୁ ଏବଂ 1000000000000000000000000000000000000000000000000000000000000000000000 ପ୍ରାପ୍ତ କରନ୍ତୁ.

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

9000000000000000000000000000000000000000000000000000000000000000000000 ପ୍ରାପ୍ତ କରିବାକୁ 9 ଏବଂ 1000000000000000000000000000000000000000000000000000000000000000000000 ଗୁଣନ କରନ୍ତୁ.

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

720000000000000000000000000000000000000000000000000000000000000000000000 ପ୍ରାପ୍ତ କରିବାକୁ 9000000000000000000000000000000000000000000000000000000000000000000000 ଏବଂ 80 ଗୁଣନ କରନ୍ତୁ.

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

-4320000000000000000000000000000000000000000000000000000000000000000000000 ପ୍ରାପ୍ତ କରିବାକୁ 720000000000000000000000000000000000000000000000000000000000000000000000 ଏବଂ -6 ଗୁଣନ କରନ୍ତୁ.

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

ଉଭୟ ପାର୍ଶ୍ଵକୁ 4320000000000000000000000000000000000000000000000000000000000000000000000 ଯୋଡନ୍ତୁ.

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

ଏହି ସମୀକରଣ ମାନାଙ୍କ ଆକାରରେ ରହିଛି: ax^{2}+bx+c=0. \frac{-b±\sqrt{b^{2}-4ac}}{2a} କ୍ୱାଡ୍ରାଟିକ୍‌ ସୂତ୍ରରେ, a ପାଇଁ 50000, b ପାଇଁ 0, ଏବଂ c ପାଇଁ 4320000000000000000000000000000000000000000000000000000000000000000000000 ପ୍ରତିବଦଳ କରନ୍ତୁ.

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

ବର୍ଗ 0.

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

-4 କୁ 50000 ଥର ଗୁଣନ କରନ୍ତୁ.

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

-200000 କୁ 4320000000000000000000000000000000000000000000000000000000000000000000000 ଥର ଗୁଣନ କରନ୍ତୁ.

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

-864000000000000000000000000000000000000000000000000000000000000000000000000000 ର ବର୍ଗମୂଳ ବାହାର କରନ୍ତୁ.

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

2 କୁ 50000 ଥର ଗୁଣନ କରନ୍ତୁ.

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

ବର୍ତ୍ତମାନ ସମୀକରଣ r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} ସମାଧାନ କରନ୍ତୁ ଯେତେବେଳେ ± ଯୁକ୍ତ ଅଟେ.

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

ବର୍ତ୍ତମାନ ସମୀକରଣ r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} ସମାଧାନ କରନ୍ତୁ ଯେତେବେଳେ ± ବିଯୁକ୍ତ ଅଟେ.

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

ବର୍ତ୍ତମାନ ସମୀକରଣ ସମାଧାନ ହୋଇଛି.

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