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What are the possible values of x in 32x + 20 = 28x − 16x2?
asked
Sep 19, 2017
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What are the possible values of x in 32x + 20 = 28x − 16x2?
Mathematics
high-school
Leor
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Leor
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2
Answers
1
vote
2x+20
=
−
16
x2
+
28x
Step 2: Subtract -16x^2+28x from both sides.
2x
+20
−
(
−
16
x2
+
28x
)
=
−
16
x2
+
28x
−
(
−
16
x2
+
28x
)
16
x2
−
26x
+20
=0
Step 3: Use quadratic formula with a=16, b=-26, c=20.
x=
−b
±
√
b2
−
4a
c
2a
x=
−
(
−26
)
±
√
(
−26
)
2
−
4
(16)
(20)
2
(16)
x=
26±
√
−604
32
Knowledgehunter
answered
Sep 21, 2017
by
Knowledgehunter
8.2k
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2
votes
4x2+x+5=0
(2x+1/4)^2=-79/16
2x+1/4=(√79/4) i or 2x+1/4=-(√79/4) i
x=(√79/8) i -1/8 or -(√79/8) i -1/8
Mperrin
answered
Sep 23, 2017
by
Mperrin
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