Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Which one of the following correctly gives the sum and product of the zeros
α
\alpha
α
and
β
\beta
β
of the quadratic polynomial
a
x
2
+
b
x
+
c
(
a
≠
0
)
ax^{2}+bx+c\,(a\neq0)
a
x
2
+
b
x
+
c
(
a
=
0
)
? a)
α
+
β
=
−
b
a
,
α
β
=
c
a
\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}
α
+
β
=
−
a
b
,
α
β
=
a
c
b)
α
+
β
=
b
a
,
α
β
=
−
c
a
\alpha+\beta=\dfrac{b}{a},\;\alpha\beta=-\dfrac{c}{a}
α
+
β
=
a
b
,
α
β
=
−
a
c
c)
α
+
β
=
−
c
a
,
α
β
=
b
a
\alpha+\beta=-\dfrac{c}{a},\;\alpha\beta=\dfrac{b}{a}
α
+
β
=
−
a
c
,
α
β
=
a
b
d)
α
+
β
=
−
b
2
a
,
α
β
=
c
a
\alpha+\beta=-\dfrac{b}{2a},\;\alpha\beta=\dfrac{c}{a}
α
+
β
=
−
2
a
b
,
α
β
=
a
c
Browse the problem library