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.

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) (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

.
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