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

thirty-five maths majors, 33 music majors, and 45 history majors are randomly selected from 251 math majors, 518 music majors 332 history majors at the state un
what molecules are 2dementional​
Why are invasive species dangerous to the environment? Check all that apply. A. They outcompete native species for resources. B. They compete for native mat
What is 3(4 plus 7) -5•4 divided by 2
Which term Jamie's parents have told him that he needs to pay his credit card bills on time to establish good credit. How will good credit help him in the futu
if you love surfing, you can travel to this country and try surfing on water during the season called LA Canicula is .
How does the structure and diction of the speech contribute to its meaning of the Gettysburg address?
Find cscx if sinx+cotx cosx= sqrt3
Describe the motion of a car with an acceleration of -2 m/s?,
The _____ River runs south to north through Egypt and Sudan. A. Indus B. Danube C. Amazon D. Nile