SOLUTION: If the equation x^4+ax^2+bx+c=0 has roots 1,2,3 Find C

Question 249669: If the equation x^4+ax^2+bx+c=0 has roots 1,2,3 Find C
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the equation x^4+ax^2+bx+c=0 has roots 1,2,3 Find C
-----------
If x = 1: 1+a + b + c = 0
---
If x = 2: 16 +4a + 2b + c = 0
----
If x = 3: 81 + 9a + 3b + c = 0
------------------------------------
Rearrange and solve for a,b,c
---
a + b + c = 0
4a + 2b + c = -16
9a + 3b + c = -81
---------------------------------
I used a matrix method to get:
a = -(49/2)
b = 115/2
c = -33
===============
Cheers,
Stan H.
RELATED QUESTIONS
if the equation x^4+ax^2+bx+c=0 has roots 1,2,and 3 Find... (answered by richard1234)

If the roots of a quadratic equation are -4 and 1, write the equation in... (answered by solver91311)

The cubic equation x^3+ax^2+bx+c=0 has roots a^2,B^2 and y^2. Show that c=-4/9 and find... (answered by ikleyn)

Find a quadratic equation in the form ax^2 + bx + c = 0, where a, b and c are integers... (answered by ankor@dixie-net.com)

If a and b; are roots of the equation {{{ ax ^ 2 + bx + c = 0 }}} , find the values of: (answered by ikleyn)

Please help me with these questions : 1) The equations ax^2 +bx+c =0 and bx^2 +ax+c=0... (answered by KMST)

Find the equation of the quadratic given roots -1/3, -2/5? Write your answer in... (answered by Alan3354)

Find the equation of the quadratic given roots -1/3, -2/5 Write your answer in... (answered by Alan3354)

Find an equation with roots that are the negative reciprocals of the roots of ax^2 +bx +c (answered by josmiceli)