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Byju's Answer
Standard X
Mathematics
Elimination Method of Finding Solution of a Pair of Linear Equations
If the sum of...
Question
If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is
(a)
x
2
-
6
x
+
6
=
0
(b)
x
2
+
6
x
-
6
=
0
(c)
x
2
-
6
x
-
6
=
0
(d)
x
2
+
6
x
+
6
=
0
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Solution
(a)
x
2
-
6
x
+
6
=
0
Given
:
Sum of roots
=
6
Product of roots
=
6
Thus, the equation is:
x
2
−
6
x
+
6
=
0
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2
Similar questions
Q.
If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is
(a)
x
2
-
6
x
+
6
=
0
(b)
x
2
+
6
x
-
6
=
0
(c)
x
2
-
6
x
-
6
=
0
(d)
x
2
+
6
x
+
6
=
0
Q.
Find the quadratic equation whose roots are the additive inverses of the roots of the equation
x
2
−
5
x
+
6
=
0
Q.
The quadratic equation whose one root is
(
3
+
2
3
)
is
(a)
x
2
+
6
x
-
3
=
0
(b)
x
2
-
6
x
-
3
=
0
(c)
x
2
+
6
x
+
3
=
0
(d)
x
2
-
6
x
+
3
=
0
Q.
The quadratic equation having roots 2p and 2q is:
Q.
Let p, q be the roots of the equation
x
2
−
3
x
+
2
=
0.
The quadratic equation having roots 2p and 2q is:
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Standard X Mathematics
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