Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
x
−
i
y
=
a
−
i
b
c
−
i
d
x - iy = \sqrt{\frac{a - ib}{c - id}}
x
−
i
y
=
c
−
i
d
a
−
ib
, prove that
(
x
2
+
y
2
)
2
=
a
2
+
b
2
c
2
+
d
2
(x^2 + y^2)^2 = \frac{a^2 + b^2}{c^2 + d^2}
(
x
2
+
y
2
)
2
=
c
2
+
d
2
a
2
+
b
2
.
Browse the problem library