form a quad. equation whose roots are alpha and beta.
Answers
Answered by
2
Answer:x^2-(alpha +beta)x+alpha×beta=0
Step-by-step explanation:
Answered by
0
Answer:
A quadratic equation, whose roots are α and β can be written as (x−α)(x−β)=0=x2−(α+β)x+αβ i.e. ax2+bx+c≡a(x−α)(x−β)
Step-by-step explanation:
if
α
and
β
are the roots of a quadratic eqn , the eqn can be written as
x
2
−
(
α
+
β
)
x
+
α
β
=
0
we are given
α
β
=
768
α
2
+
β
2
=
1600
now
(
α
+
β
)
2
=
α
2
+
β
2
+
2
α
β
so
(
α
+
β
)
2
=
1600
+
2
×
768
=
3136
∴
α
+
β
=
√
3136
=
56
the required quadratic is then
x
2
−
56
x
+
768
=
0
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