solve the equation
2007-08-03 16:45:01 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
8w² + 2w - 1 = 0
w = [ -2 ±√4 + 32 ] / 16
w = [ - 2 ± 6 ] / 16
w = 4 / 16 , w = - 8 / 16
w = 1 / 4 , w = - 1 / 2
OR
(2w + 1) (4w - 1) = 0
w = - 1 / 2 , w = 1 / 4
2007-08-03 21:24:15 · answer #1 · answered by Como 7 · 2⤊ 0⤋
First, distribute the 2w:
8w^2 + 2w = 1
Subtract 1 from both sides:
8w^2 + 2w - 1 = 0
Factor:
(4w - 1)(2w + 1) = 0
4w - 1 = 0
4w = 1
w = 1/4
2w + 1 = 0
2w = -1
w = -1/2
Check answers:
2(1/4)(4(1/4) + 1) = 1
(1/2)(1 + 1) = 1
(1/2)(2) = 1
1 = 1
2(-1/2)(4(-1/2) + 1) = 1
(-1)(-2 + 1) = 1
(-1)(-1) = 1
1 = 1
Both the answers check.
w = -1/2 or 1/4
2007-08-03 16:48:03 · answer #2 · answered by whitesox09 7 · 1⤊ 0⤋
2w(4w+1)=1
8w2 + 2w = 1
8w2 + 2w – 1 = 0
(4w – 1 )( 2w + 1 ) = 0
4w – 1 = 0 2w + 1 = 0
4w = 1 2w = -1
W = 1/4 w= -1/2
2007-08-03 17:03:44 · answer #3 · answered by yusuke_kousuke 2 · 0⤊ 1⤋
Distribute
2w(4x)+ 2w(1) =1
8w^2+ 2w= 1
bring 1 to other side
8w^2 + 2w - 1 = 0
factor
(4w + 1)(2w - 1)
then you get
4w+1=0
4w=-1
w=-1/4
2w-1=0
2w=1
w=1/2
answer
w= 1/2, -1/4
2007-08-03 16:57:09 · answer #4 · answered by the worr e ore 5 · 0⤊ 1⤋
8w²+2w-1 = 0
(4w-1) (2w+1)
w = 1/4 or -1/2
2007-08-03 16:53:05 · answer #5 · answered by Jed 2 · 0⤊ 0⤋
8w^2 + 2w - 1 = 0
(4w + 1)(2w - 1) = 0
w = -1/4 or w = 1/2
2007-08-03 16:49:46 · answer #6 · answered by Anonymous · 0⤊ 1⤋
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2016-12-11 09:44:28 · answer #7 · answered by Anonymous · 0⤊ 0⤋
w=9
2w(4w+1)=1
8w+2w=1
10w=1
w=9
2007-08-03 16:50:47 · answer #8 · answered by Anonymous · 0⤊ 1⤋
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2007-08-03 17:01:57 · answer #9 · answered by alliee 2 · 0⤊ 1⤋