SOLUTION: I cannot figure out the answer to this problem. ax^2+bx+c=0 the given solution is -squareroot5,4squareroot5 can you please help me? thank u

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I cannot figure out the answer to this problem. ax^2+bx+c=0 the given solution is -squareroot5,4squareroot5 can you please help me? thank u      Log On


   

Question 488256: I cannot figure out the answer to this problem.

ax^2+bx+c=0 the given solution is -squareroot5,4squareroot5 can you please help me? thank u
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your given solution is x+=+-sqrt%285%29 or x+=+4sqrt%285%29
the equation is ax^2 + bx + c = 0
if the solutions to the equation are:
x+=+-sqrt%285%29
x+=+4sqrt%285%29
then the factors of the equation are:
%28x+%2B+sqrt%285%29%29+%2A+%28x+-+4sqrt%285%29%29+=+0
if you multiply these factors together you will get the equation.
the following picture shows you the mutiplication of the factors.
$$$$$
your equation is:
x%5E2+-+3sqrt%285%29x+-+20+=+0
a+=+1
b+=+-3sqrt%285%29
c+=+-20