SOLUTION: Consider the quadratic equation x^2 + px + q = 0 where p · q ≠ 0. If one root is three times the other root, find p^2/q.

SOLUTION: Consider the quadratic equation x^2 + px + q = 0 where p · q ≠ 0. If one root is three times the other root, find p^2/q.

Algebra.Com

Question 1150725: Consider the quadratic equation x^2 + px + q = 0 where p · q ≠ 0. If one root is three times the other root, find p^2/q.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Let the two roots be a and 3a. The sum of the roots is 4a, and their product is 3a^2.

By Vieta's Theorem, the quadratic is

Then

ANSWER: p^2/q = 16/3

RELATED QUESTIONS
If 2 + √3 is one root of xpower2 + px + q = 0 Then p and q... (answered by josgarithmetic,MathTherapy)

If p and q are the roots of x^2+PX+q=0. Find p and... (answered by josgarithmetic,ikleyn)

one of the root of the equation x^2-px+q=0 is the square of the other.proof that... (answered by Edwin McCravy)

Given that the equation px^2 + 3px + p + q = 0,where p is not = 0, has two equal real... (answered by MathLover1)

Given that the equation px^2 + 3px + p + q = 0,where p is not = 0, has two equal real... (answered by MathLover1,robertb)

find the value of x if p+7=0,q-12=0 and... (answered by richard1234)

If one root of the equation x^2-px+20=0 is four while the equation x^2-qx+p=0 has equal... (answered by greenestamps,ikleyn)

: If one root of the equation x^2-px+20=0 is four, while the equation x^2-qx+p=0 has... (answered by ikleyn)

Given that p is a root of equations x^2-x-q=0 and -x^2-7x+q+8=0, find the values of p and (answered by algebrahouse.com)