Mathematics: William Sydney Porter tried to perform the calculation . However, he accidentally missed the minus sign, finding =-. What answer should he have obtained?

Well we can learn that since the equation is in slope intercept form, 12 is the y-intercept and -0.04 is the slope...

William Sydney Porter tried to perform the calculation

Ответ:

61497

28.01.2022

Mathematics

1+2i

Step-by-step explanation:

Given the complex number $\frac{-3+4i}{1+2i}$ calculated by Sydney porter, In order to know the value he should have obtained if he hadn't accidentally miss the minus sign, we will have to rationalize the original complex function.

To rationalize, we will multiply the numerator and denominator if the function by the conjugate of its denominator as shown;

$\frac{-3+4i}{1+2i} *\frac{1-2i}{1-2i}\\= \frac{(-3+4i)(1-2i)}{(1+2i)(1-2i)}\\= \frac{-3+6i+4i-8i^{2} }{1-2i+2i-4i^{2} } \\= \frac{-3+10i+8}{1+4} \\note\ that\ i^{2} = -1\\= \frac{5+10i}{5} \\= \frac{5}{5} + \frac{10i}{5} \\= 1 +2i$

He should have obtained 1+2i if he hadn't misses the sign

0,0(0 оценок)

William Sydney Porter tried to perform the calculation $\frac{-3+4i}{1+2i}$ . However, he accidentally missed the minus sign, finding $\frac{3+4i}{1+2i}$ = $\frac{11}{5}$ - $\frac{2i}{5}$ . What answer should he have obtained?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question