Answer:
60 7/8
Step-by-step explanation:
62 1/2-1 5/8=x
Answer:
Q1.
a. three hundred sixty-four thousand eight hundred twenty-five
b. one hundred forty-three
c. nine hundred four thousand three hundred six
d. seven million twenty
e. fifty-six million thirty thousand one hundred twenty-three
f. six thousand twenty-four
g. two hundred four
h. six hundred seventy-four thousand one
i. nine hundred sixty-two thousand three hundred forty-two
Q2.
a. 5000000
b. 1000004
c. 60000203
d. 1311
e. 286
f. 34503271
g. 844536
h. 3748
i. 125064
j. 4605231
<h3><u>Given Quotient:- </u></h3>
![\red{➤}\:](https://tex.z-dn.net/?f=%5Cred%7B%E2%9E%A4%7D%5C%3A)
![\sf \dfrac{13}{5-i}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B13%7D%7B5-i%7D%20)
![\\](https://tex.z-dn.net/?f=%5C%5C)
<h3><u>To Do:-</u></h3>
![\orange{☛}\:](https://tex.z-dn.net/?f=%5Corange%7B%E2%98%9B%7D%5C%3A)
![\sf Write \: given \: Quotient \:in \: a+bi \:form](https://tex.z-dn.net/?f=%5Csf%20Write%20%5C%3A%20given%20%5C%3A%20Quotient%20%20%5C%3Ain%20%5C%3A%20a%2Bbi%20%20%5C%3Aform)
![\\](https://tex.z-dn.net/?f=%5C%5C)
<h3><u>Solution:-</u></h3>
![\begin{gathered}\\\quad\longrightarrow\quad\sf \frac{13}{5-i} \\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cquad%5Clongrightarrow%5Cquad%5Csf%20%5Cfrac%7B13%7D%7B5-i%7D%20%5C%5C%5Cend%7Bgathered%7D%20)
Multiplaying denominator and numerator by 5+i to get denominator as real number
![\begin{gathered}\\\quad\longrightarrow\quad\sf \frac{13(5+i)}{5-i(5+i)} \\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cquad%5Clongrightarrow%5Cquad%5Csf%20%5Cfrac%7B13%285%2Bi%29%7D%7B5-i%285%2Bi%29%7D%20%5C%5C%5Cend%7Bgathered%7D%20)
![\begin{gathered}\\\quad\longrightarrow\quad\sf \frac{65+13i}{5^2-i^2} \\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cquad%5Clongrightarrow%5Cquad%5Csf%20%5Cfrac%7B65%2B13i%7D%7B5%5E2-i%5E2%7D%20%5C%5C%5Cend%7Bgathered%7D%20)
![\quad\quad\quad\quad\quad\sf ((a+b)(a-b)=a^2-b^2)](https://tex.z-dn.net/?f=%5Cquad%5Cquad%5Cquad%5Cquad%5Cquad%5Csf%20%28%28a%2Bb%29%28a-b%29%3Da%5E2-b%5E2%29%20)
![\begin{gathered}\\\quad\longrightarrow\quad\sf \frac{65+13i}{25-(-1)} \\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cquad%5Clongrightarrow%5Cquad%5Csf%20%5Cfrac%7B65%2B13i%7D%7B25-%28-1%29%7D%20%5C%5C%5Cend%7Bgathered%7D%20)
![\quad\quad\quad\quad\quad\sf (For\:Complex\: Number,i ; i^2 = -1)](https://tex.z-dn.net/?f=%5Cquad%5Cquad%5Cquad%5Cquad%5Cquad%5Csf%20%28For%5C%3AComplex%5C%3A%20Number%2Ci%20%3B%20i%5E2%20%3D%20-1%29%20%20)
![\begin{gathered}\\\quad\longrightarrow\quad\sf \frac{65+13i}{25+1} \\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cquad%5Clongrightarrow%5Cquad%5Csf%20%5Cfrac%7B65%2B13i%7D%7B25%2B1%7D%20%5C%5C%5Cend%7Bgathered%7D%20)
![\begin{gathered}\\\quad\longrightarrow\quad\sf \frac{65+13i}{26} \\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cquad%5Clongrightarrow%5Cquad%5Csf%20%5Cfrac%7B65%2B13i%7D%7B26%7D%20%5C%5C%5Cend%7Bgathered%7D%20)
![\begin{gathered}\\\quad\longrightarrow\quad\sf \frac{\cancel{65}}{\cancel{26}}+\frac{\cancel{13}i}{\cancel{26}} \\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cquad%5Clongrightarrow%5Cquad%5Csf%20%5Cfrac%7B%5Ccancel%7B65%7D%7D%7B%5Ccancel%7B26%7D%7D%2B%5Cfrac%7B%5Ccancel%7B13%7Di%7D%7B%5Ccancel%7B26%7D%7D%20%20%5C%5C%5Cend%7Bgathered%7D%20)
![\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {\frac{5}{2} +\frac{1}{2} i}}\\\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5C%5C%5Cquad%5Clongrightarrow%5Cquad%5Cboxed%7B%5Csf%20%7B%5Cfrac%7B5%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%20i%7D%7D%5C%5C%5Cend%7Bgathered%7D%20)
Answer:
3 and 63
Step-by-step explanation: