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Mathematics
Problem
x
1
,
x
2
x_1, x_2
x
1
,
x
2
are the roots of the equation
x
2
−
3
x
+
A
=
0
x^2 - 3x + A = 0
x
2
−
3
x
+
A
=
0
;
x
3
,
x
4
x_3, x_4
x
3
,
x
4
are roots of the equation
x
2
−
12
x
+
B
=
0
x^2 - 12x + B = 0
x
2
−
12
x
+
B
=
0
, such that
x
1
,
x
2
,
x
3
,
x
4
x_1, x_2, x_3, x_4
x
1
,
x
2
,
x
3
,
x
4
form an increasing G.P., then find the value of
A
+
B
A+B
A
+
B
.
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