SOLUTION: If p:q is equal to root(p-x^2):root(q-x^2), then x^2 equals which of the following: a) p/(p+q) b) q/(p+q) c) pq/(p-q) d) None of the other options. Do show how you derived

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If p:q is equal to root(p-x^2):root(q-x^2), then x^2 equals which of the following: a) p/(p+q) b) q/(p+q) c) pq/(p-q) d) None of the other options. Do show how you derived      Log On


   



Question 71705: If p:q is equal to root(p-x^2):root(q-x^2), then x^2 equals which of the following:
a) p/(p+q)
b) q/(p+q)
c) pq/(p-q)
d) None of the other options.
Do show how you derived the answer.
Thanking you in advance,
Regards,
Ajit

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If p:q is equal to root(p-x^2):root(q-x^2), then x^2 equals
-------
p/q = (p-x^2)/(q-x^2)
pq-px^2 = qp-qx^2
qx^2-px^2 = 0
(q-p)x^2 = 0
Either q=p or x^2 = 0
----------
Cheers,
Stan H.