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Mathematics
Problem
If the equation
a
x
2
+
2
b
x
+
c
=
0
ax^2 + 2bx + c = 0
a
x
2
+
2
b
x
+
c
=
0
and
a
x
2
+
2
c
x
+
b
=
0
ax^2 + 2cx + b = 0
a
x
2
+
2
c
x
+
b
=
0
,
a
≠
0
a \neq 0
a
=
0
,
b
≠
c
b \neq c
b
=
c
, have a common root, then their other roots are the roots of the quadratic equation: (a)
a
2
x
(
x
+
1
)
+
4
b
c
=
0
a^2x(x+1) + 4bc = 0
a
2
x
(
x
+
1
)
+
4
b
c
=
0
(b)
a
2
x
(
x
+
1
)
+
8
b
c
=
0
a^2x(x+1) + 8bc = 0
a
2
x
(
x
+
1
)
+
8
b
c
=
0
(c)
a
2
x
(
x
+
2
)
+
8
b
c
=
0
a^2x(x+2) + 8bc = 0
a
2
x
(
x
+
2
)
+
8
b
c
=
0
(d)
a
2
x
(
1
+
2
x
)
+
8
b
c
=
0
a^2x(1+2x) + 8bc = 0
a
2
x
(
1
+
2
x
)
+
8
b
c
=
0
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