stephg583 stephg583
  • 15-02-2018
  • Mathematics
contestada

When 3+4i2+i is expressed in the form a+bi, what is the value of a?

Respuesta :

zrh2sfo
zrh2sfo zrh2sfo
  • 15-02-2018
Multiplying and dividing with conjugate of 2+i in the given expression, we get(3+ 4i)(2-i)/(2+i)(2-i)=(6-3i+8i-4i^2)/(4-i^2)=(10+5i)/(4+1)=(10+5i)/5=2+i=a+biThus a=2
Answer Link

Otras preguntas

A 25.0 g sample of metal at 16.0 °C is warmed to 22.1 °C by 259 ] of energy. What is the change in temperature for the metal? Record your answer to the tenths p
Christmas bulbs made of different colours are set to light after 8seconds,10 seconds and 14 seconds. How many times will they light simultaneously in one hour i
What are the functions of information technology?
In times of reduced visibility or at night, what color all-around light should a non-powered canoe or kayak display?.
Mention any four qualities of a governer. [Indian democracy]
X^2=50 where x is a real number
In the video, a soldier makes an unusual request. what does he want to hear lana turner do?
Part B Assume the statement is true for n=k. Prove that it must be true for n=k+1, therefore proving it true for all natural numbers, n. Hint: Since the total n
Suppose the u.s. government put a 'special 20 percent luxury tax' on the retail price of expensive and fancy yachts in order to collect more taxes from boat own
Trout Street and Salmon Street are the same distance from the boardwalk to the intersection of 1st Street, Trout Street, and Salmon Street as shown in the diagr