Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
If
α
,
β
\alpha, \beta
α
,
β
are the roots of the equation
x
2
−
x
−
6
=
0
x^2 - x - 6 = 0
x
2
−
x
−
6
=
0
, then find the equation whose roots are
α
1
+
α
,
β
1
+
β
\frac{\alpha}{1+\alpha}, \frac{\beta}{1+\beta}
1
+
α
α
,
1
+
β
β
.
Browse the problem library