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Byju's Answer
Standard X
Mathematics
Roots of Quadratic Equation
If α and ...
Question
If
α
and
β
are the roots of
x
2
+
5
x
−
=
0
then find
(i)
α
3
+
β
3
(ii)
α
2
+
β
2
.
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Solution
x
2
+
5
x
−
=
0
x
2
+
5
x
=
0
x
(
x
+
5
)
=
0
x
=
0
,
−
5
∴
α
=
0
,
β
=
−
5
α
3
+
β
3
=
0
3
+
(
−
5
)
3
=
−
125
α
2
+
β
2
=
0
2
+
(
−
5
)
2
=
25
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0
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