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Mathematics
Mathematics
Problem
Solve
2
x
(
x
−
3
)
=
5
x
−
6
2x\,(x-3)=5x-6
2
x
(
x
−
3
)
=
5
x
−
6
. Which option lists both roots correctly? a)
{
11
+
73
2
,
11
−
73
2
}
\left\{\dfrac{11+\sqrt{73}}{2},\,\dfrac{11-\sqrt{73}}{2}\right\}
{
2
11
+
73
,
2
11
−
73
}
b)
{
11
+
65
4
,
11
−
65
4
}
\left\{\dfrac{11+\sqrt{65}}{4},\,\dfrac{11-\sqrt{65}}{4}\right\}
{
4
11
+
65
,
4
11
−
65
}
c)
{
11
+
73
4
,
11
−
73
4
}
\left\{\dfrac{11+\sqrt{73}}{4},\,\dfrac{11-\sqrt{73}}{4}\right\}
{
4
11
+
73
,
4
11
−
73
}
d)
{
3
2
,
1
}
\left\{\dfrac{3}{2},\,1\right\}
{
2
3
,
1
}
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