studentfromsg studentfromsg
  • 11-05-2019
  • Mathematics
contestada

If x = 3 and x = -1 are the solutions of the equation x^2 + ax + b = 0, find the values of a and b.

Respuesta :

xpluto
xpluto xpluto
  • 11-05-2019

We substitute both and simplify the equations:

9+3a+b=0

1-a+b=0

to solve the prior equations together we multiply the second equation by 3 and add it to the first one and we get:

12+3b=0

3b=-12

b=-12/3

We replace b with -4 and get the answer for a:

1-a-4=0

a=-3

Answer Link

Otras preguntas

please help find out what is b/3+17=48
Convert one third to a decimal
170000 in scientific notation
Find the slope and y intercept 4x-5y=5
Where are slides placed on a microscope?
If a is an integer, which of the  following could be a4 ? A. 1.6 X 10^11 B. 1.6 X 10^12 C. 1.6 X 10^13  D. 1.6 X 10^14 E. 1.6 X 10^15
Is water a compound?
There are five types of grains of sand: very coarse, coarse, medium, fine, and very fine. A grain of fine sand can have a diameter of 0.125 millimeters. Which n
How did people survive before agriculture was discovered
you go down 8 floors in an elavator your friend goes up 5 floors in a elevator write each amount as a integer