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Byju's Answer
Standard X
Mathematics
Roots of Quadratic Equation
34. What are ...
Question
34. What are the conditions for common root or roots of 2 Quadratic equations?
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Similar questions
Q.
The condition for a general quadratic equation such that its both roots are equal, is
Q.
For the quadratic equation
a
x
2
+
b
x
+
c
=
0
,
Match the given conditions with the correct nature of roots.
Q.
The quadratic equations
x
2
−
6
x
+
a
=
0
,
x
2
−
c
x
+
6
=
0
have one root in common. The other roots of the first and second equations are integers in the ratio
4
:
3
. Then common root is :
Q.
For what value of k, the roots of the quadratic equation kx (x - 2 root5 )+ 10 = 0 are equal?
Q.
a
+
b
+
1
=
0
is
the condition for the quadratic equations
x
2
+
a
x
+
b
=
0
and
x
2
+
b
x
+
a
=
0
to have a common root.
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