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

The variables x and y are directly proportional, and y = 2 when x = 3. What is the value of y when x = 9 ?
Which is greater? 45.678 or 456.78?
why was slavery important to texas and other southern states
What is the least common multiple (LCM) of 6 and 8? A. 24 B. 48 C. 16 D. 2
Jorge friend Anna planted a garden with the same ratio of tulips to daises Anna garden has 48 tulips how many tulips and daises does Anna have this pic is for J
why was slavery important to texas and other southern states
Write each rate as a unit rate 3 inches of rain in 6 hours
What is a gene? A. a section of a protein that codes for DNA B. the alternate version of a trait C. the visible trait in the F1 generation D. a section of D
What is the interest earned at $700 at 8% for 6 years
It is possible to have what would be considered contradicting personality traits. true or false