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
−
3
x
+
5
=
0
x^2 - 3x + 5 = 0
x
2
−
3
x
+
5
=
0
and
γ
,
δ
\gamma, \delta
γ
,
δ
are the roots of the equation
x
2
+
5
x
−
3
=
0
x^2 + 5x - 3 = 0
x
2
+
5
x
−
3
=
0
, then the equation whose roots are
α
γ
+
β
δ
\alpha\gamma + \beta\delta
α
γ
+
β
δ
and
α
δ
+
β
γ
\alpha\delta + \beta\gamma
α
δ
+
β
γ
, is a.
x
2
−
15
x
−
158
=
0
x^2 - 15x - 158 = 0
x
2
−
15
x
−
158
=
0
b.
x
2
+
15
x
−
158
=
0
x^2 + 15x - 158 = 0
x
2
+
15
x
−
158
=
0
c.
x
2
−
15
x
+
158
=
0
x^2 - 15x + 158 = 0
x
2
−
15
x
+
158
=
0
d.
x
2
+
15
x
+
158
=
0
x^2 + 15x + 158 = 0
x
2
+
15
x
+
158
=
0
Browse the problem library