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Mathematics
Mathematics
Problem
For the quadratic expression
x
2
+
b
x
+
c
x^2+bx+c
x
2
+
b
x
+
c
to be a perfect square trinomial, which of the following relations between
b
b
b
and
c
c
c
must hold? a)
c
=
b
2
c=b^2
c
=
b
2
b)
c
=
2
b
c=2b
c
=
2
b
c)
c
=
(
b
2
)
2
c=\left(\dfrac{b}{2}\right)^2
c
=
(
2
b
)
2
d)
c
=
b
2
c=\dfrac{b}{2}
c
=
2
b
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