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Question 80 - Algebra Practice | Prasnya
Q80
00:00
30 Nov 2025
Q80.
The equations
3
x
2
−
5
x
+
p
=
0
3x^2-5x + p = 0
3
x
2
−
5
x
+
p
=
0
and
2
x
2
−
2
x
+
q
=
0
2x^2 - 2x + q = 0
2
x
2
−
2
x
+
q
=
0
have one common root. The sum of the other roots of these two equations is
A
8
3
+
p
+
1
3
q
\dfrac{8}{3} + p + \dfrac{1}{3}q
3
8
+
p
+
3
1
q
B
2
3
−
2
p
+
2
3
q
\dfrac{2}{3} - 2p + \dfrac{2}{3}q
3
2
−
2
p
+
3
2
q
C
8
3
−
p
+
3
2
q
\dfrac{8}{3} - p + \dfrac{3}{2}q
3
8
−
p
+
2
3
q
D
2
3
−
p
+
3
2
q
\dfrac{2}{3} - p + \dfrac{3}{2}q
3
2
−
p
+
2
3
q
Save
Check
Details
Q80
00:00
30 Nov 2025
Q80.
The equations
3
x
2
−
5
x
+
p
=
0
3x^2-5x + p = 0
3
x
2
−
5
x
+
p
=
0
and
2
x
2
−
2
x
+
q
=
0
2x^2 - 2x + q = 0
2
x
2
−
2
x
+
q
=
0
have one common root. The sum of the other roots of these two equations is
A
8
3
+
p
+
1
3
q
\dfrac{8}{3} + p + \dfrac{1}{3}q
3
8
+
p
+
3
1
q
B
2
3
−
2
p
+
2
3
q
\dfrac{2}{3} - 2p + \dfrac{2}{3}q
3
2
−
2
p
+
3
2
q
C
8
3
−
p
+
3
2
q
\dfrac{8}{3} - p + \dfrac{3}{2}q
3
8
−
p
+
2
3
q
D
2
3
−
p
+
3
2
q
\dfrac{2}{3} - p + \dfrac{3}{2}q
3
2
−
p
+
2
3
q
Save
Check
Details
