divide (x²+ 3x²+ 2x+ 24)÷(x+4)
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x=3/4
Explanation:
a
x
2
+
b
x
+
c
4
3
x
2
−
2
x
+
3
4
=
0
I would start by multiplying the whole thing by the common denominator of the fractions:
12
then we can just deal with integers.
12
(
4
3
x
2
−
2
x
+
3
4
=
0
)
16
x
2
−
24
x
+
9
=
0
a
=
16
,
b
=
−
24
,
c
=
9
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
−
(
−
24
)
±
√
(
−
24
)
2
−
4
⋅
16
⋅
9
2
⋅
16
x
=
24
±
√
576
−
576
32
x
=
24
32
=
3
4
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