ikang24601 ikang24601
  • 05-03-2020
  • Mathematics
contestada

The roots of the quadratic equation z^2 + az + b = 0 are -7 + 2i and -7 - 2i. What is a+b?

Respuesta :

spotify2joseph spotify2joseph
  • 05-03-2020

Answer:

a+b=249/14

Step-by-step explanation:

z1= [-a+sqrt(a^2-4ab)]/2

z1= [-a-sqrt(a^2-4ab)]/2

--------------------------------------------------

z1= -a/2+[sqrt(a^2-4ab)]/2

then,

-a/2=-7

so, a=14

a^2-4ab= -16

b=(a^2+16)/(4a)

b=53/24

therefore, a+b= 249/14

Answer Link

Otras preguntas

At a graduation dinner, an equal number of guests were seated at each of 3 large tables and 7 late-arriving guests were seated at a smaller table. There were 37
Compare and contrast Venus and Mars, how are they different from each other and how are they the same 4 page Essay and poster on the 2 plants .
Peaches are being sold for $2 per pound. If x represent the number of pounds of peaches bought and y represent the total cost of peaches, which best describes t
Describe the Espionage and Sedition Acts.
If a rope is 36 feet long and cut into 8 sections what is the length in feet of each section
Type the correct answer in the box. Write your answer as a reduced fraction, using / for the fraction bar. A six-sided fair die is rolled 4 times in a row. The
Reactants and products of 2H2O=2H2O+O2
PLEASE HELP!!! ASAP!! One student heated a metal wire to produce high-speed electrons. When the electrons struck a metal target, waves were produced in a direct
A CD usually sells for $14.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?
what are alveoli and what do they do?