SOLUTION: 2w(4w+1)=1

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: 2w(4w+1)=1       Log On


   

Question 174383: 2w(4w+1)=1

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

2w%284w%2B1%29=1, EQN 1
8w%5E2%2B2w-1=0
By Quadratic:
where------->system%28a=8%2Cb=2%2Cc=-1%29
Then, remember w=x
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x=%28-2%2B-sqrt%282%5E2-4%2A8%2A-1%29%29%2F%282%2A8%29
x=%28-2%2B-sqrt%284%2B32%29%29%2F16=%28-2%2B-sqrt%2836%29%29%2F16=%28-2%2B-6%29%2F16
x=%28-2%2B6%29%2F16=4%2F16=1%2F4=highlight%280.25=x=w%29
x=%28-2-6%29%2F16=-8%2F16=-1%2F2=highlight%28-0.50=x=w%29
check in EQN 1:
2%280.25%29%284%2A0.25%2B1%29=1
0.50%281%2B1%29=1
0.50%2A2=1
1=1
thank you,
Jojo