SOLUTION: If the two roots of the quadratic equation x^2+x-3=0 are M and N. Form the quadratic equations whose roots are: 1)5M,5N 2)1/M, 1/N 3)M^2, N^2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: If the two roots of the quadratic equation x^2+x-3=0 are M and N. Form the quadratic equations whose roots are: 1)5M,5N 2)1/M, 1/N 3)M^2, N^2      Log On


   

Question 948198: If the two roots of the quadratic equation x^2+x-3=0 are M and N. Form the quadratic equations whose roots are:
1)5M,5N
2)1/M, 1/N
3)M^2, N^2
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

1. if the roots 5Mand 5N,then
%28x-5M%29%28x-5N%29=0%29
x%5E2-5Mx-5Nx%2B25MN=0%29
x%5E2-5%28M%2BN%29x%2B25MN=0%29


2.
if the roots are 1%2FM,1%2FN,then
%28x-1%2FM%29%28x-1%2FN%29=0%29
x%5E2-x%2FM-x%2FN%2B1%2F%28MN%29+=+0
x%5E2-%281%2FM%2B1%2FN%29x%2B1%2F%28MN%29+=+0

3.
%28x-M%5E2%29%28x-N%5E2%29=0%29
x%5E2-M%5E2x-N%5E2x%2BM%5E2N%5E2=+0
x%5E2-%28M%5E2%2BN%5E2%29x%2BM%5E2N%5E2=+0