3/4left(2-5iright)+1/2left(3+1/2iright) କୁ ସମାଧାନ କରନ୍ତୁ

$$\frac{ 3 }{ 4 } \left( 2-5i \right) + \frac{ 1 }{ 2 } \left( 3+ \frac{ 1 }{ 2 } i \right)$$

ମୂଲ୍ୟାୟନ କରିବା

$$3-\frac{7}{2}i=3-3.5i$$

ସମାଧାନ କରିବା ପଦକ୍ଷେପଗୁଡିକ

\frac{3}{4} କୁ 2-5i ଥର ଗୁଣନ କରନ୍ତୁ.

$$\frac{3}{4}\times 2+\frac{3}{4}\times \left(-5i\right)+\frac{1}{2}\left(3+\frac{1}{2}i\right)$$

\frac{3}{4}\times 2+\frac{3}{4}\times \left(-5i\right) ରେ ଗୁଣନଗୁଡିକ କରନ୍ତୁ.

$$\frac{3}{2}-\frac{15}{4}i+\frac{1}{2}\left(3+\frac{1}{2}i\right)$$

\frac{1}{2} କୁ 3+\frac{1}{2}i ଥର ଗୁଣନ କରନ୍ତୁ.

$$\frac{3}{2}-\frac{15}{4}i+\frac{1}{2}\times 3+\frac{1}{2}\times \left(\frac{1}{2}i\right)$$

\frac{1}{2}\times 3+\frac{1}{2}\times \left(\frac{1}{2}i\right) ରେ ଗୁଣନଗୁଡିକ କରନ୍ତୁ.

$$\frac{3}{2}-\frac{15}{4}i+\left(\frac{3}{2}+\frac{1}{4}i\right)$$

ବାସ୍ତବ ଓ କାଳ୍ପନିକ ଅଂଶଗୁଡିକ ସମ୍ମେଳନ କରନ୍ତୁ.

$$\frac{3}{2}+\frac{3}{2}+\left(-\frac{15}{4}+\frac{1}{4}\right)i$$

ଯୋଗଗୁଡିକ କରନ୍ତୁ.

$$3-\frac{7}{2}i$$

ପ୍ରକୃତ ଅଂଶ

$$3$$

ସମାଧାନ କରିବା ପଦକ୍ଷେପଗୁଡିକ

\frac{3}{4} କୁ 2-5i ଥର ଗୁଣନ କରନ୍ତୁ.

$$Re(\frac{3}{4}\times 2+\frac{3}{4}\times \left(-5i\right)+\frac{1}{2}\left(3+\frac{1}{2}i\right))$$

\frac{3}{4}\times 2+\frac{3}{4}\times \left(-5i\right) ରେ ଗୁଣନଗୁଡିକ କରନ୍ତୁ.

$$Re(\frac{3}{2}-\frac{15}{4}i+\frac{1}{2}\left(3+\frac{1}{2}i\right))$$

\frac{1}{2} କୁ 3+\frac{1}{2}i ଥର ଗୁଣନ କରନ୍ତୁ.

$$Re(\frac{3}{2}-\frac{15}{4}i+\frac{1}{2}\times 3+\frac{1}{2}\times \left(\frac{1}{2}i\right))$$

\frac{1}{2}\times 3+\frac{1}{2}\times \left(\frac{1}{2}i\right) ରେ ଗୁଣନଗୁଡିକ କରନ୍ତୁ.

$$Re(\frac{3}{2}-\frac{15}{4}i+\left(\frac{3}{2}+\frac{1}{4}i\right))$$

ବାସ୍ତବ ଏବଂ ଅବାସ୍ତବ ଅଂଶଗୁଡିକ \frac{3}{2}-\frac{15}{4}i+\frac{3}{2}+\frac{1}{4}i ରେ ସମ୍ମେଳନ କରନ୍ତୁ.

$$Re(\frac{3}{2}+\frac{3}{2}+\left(-\frac{15}{4}+\frac{1}{4}\right)i)$$

\frac{3}{2}+\frac{3}{2}+\left(-\frac{15}{4}+\frac{1}{4}\right)i ରେ ଯୋଗଗୁଡିକ କରନ୍ତୁ.

$$Re(3-\frac{7}{2}i)$$

3-\frac{7}{2}i ର ବାସ୍ତବ ଅଂଶ ହେଉଛି 3.

$$3$$