Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
p
p
p
,
q
q
q
,
r
r
r
are in G.P. and the equation
p
x
2
+
2
q
x
+
r
=
0
px^2 + 2qx + r = 0
p
x
2
+
2
q
x
+
r
=
0
and
d
x
2
+
2
e
x
+
f
=
0
dx^2 + 2ex + f = 0
d
x
2
+
2
e
x
+
f
=
0
have a common root, then show that
d
p
\frac{d}{p}
p
d
,
e
q
\frac{e}{q}
q
e
,
f
r
\frac{f}{r}
r
f
are in A.P.
Browse the problem library