SOLUTION: Solve for x when px^2 - ( 2p + q) x + p + q = 0 Thanks so much in advance:)

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Question 867545: Solve for x when px^2 - ( 2p + q) x + p + q = 0
Thanks so much in advance:)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
px%5E2+-+%28+2p+%2B+q%29+x+%2B+p+%2B+q+=+0

here a = p, b= -(2p+q), c= (p+q)
Use formula method
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

b%5E2-4ac+=+%28-%282p%2Bq%29%29%5E2-+4%2Ap%2A%28p%2Bq%29
=4p%5E2%2B4pq%2Bq%5E2-4p%5E2-4pq
=q%5E2
x=%28%282p%2Bq%29%2B-sqrt%28q%5E2%29%29%2F%282p%29
solve
x1= (2p+q+q)/2p
=(p+q)/p
x2= (2p+q-q)/2p
=1