SOLUTION: If the roots of x^2 +nx + m = 0 are twice those of x^2 +mx +1 =0, find the value of n. Please explain. Thank you sooo much.

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Question 1017603: If the roots of x^2 +nx + m = 0 are twice those of x^2 +mx +1 =0, find the value of n. Please explain. Thank you sooo much.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If has roots p and q, then and .

Then the roots of are 2p and 2q, and and .

Since , we have . Then , and .