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Byju's Answer
Standard X
Mathematics
Sum and Product of Roots of a Quadratic Equation
The roots of ...
Question
The roots of the equation
3
x
+
2
+
3
-
x
= 10 are
(a) 2, 0
(b) −2, 0
(c) 3, −1
(d) −3, 1
Open in App
Solution
(b) −2, 0
Given:
3
x
+
2
+
3
−
x
=
10
Let 3
x
be equal to
y
.
Then, the equation can be rewritten as:
3
2
×
3
x
+
1
3
x
=
10
⇒
9
y
+
1
y
=
10
⇒
9
y
2
+
1
y
=
10
⇒ 9
y
2
−
10
y
+
1
=
0
⇒ 9
y
2
−
9
y
−
y
+
1
=
0
⇒
9
y
(
y
−
1
)
−
(
y
−
1
)
=
0
⇒
(
y
−
1
)
(
9
y
−
1
)
=
0
⇒
y
=
1
or
y
=
1
9
=
1
3
2
⇒ 3
x
=
3
0
or 3
x
=
3
−
2
⇒
x
=
0
or
x
=
−
2
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