Write the quadratic equation which having 5 and - 5 as roots
Answers
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Step-by-step explanation:
A quadratic equation with roots
α
and
β
is
a
(
x
−
α
)
(
x
−
β
)
Hence a quadratic equation with roots
5
and
−
6
is
a
(
x
−
5
)
(
x
−
(
−
6
)
)
=
a
(
x
−
5
)
(
x
+
6
)
=
a
(
x
2
−
5
x
+
6
x
−
30
)
=
a
x
2
+
a
x
−
30
a
and if
a
=
1
, the equation would be
x2+x−30
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