SOLUTION: Find all real- number solutions. Round your results to the second decimal place. Verify that your results satisfy the equation. 35.9b^6 + 8.6 = 394.3 Please help. I have been

Algebra ->  Test -> SOLUTION: Find all real- number solutions. Round your results to the second decimal place. Verify that your results satisfy the equation. 35.9b^6 + 8.6 = 394.3 Please help. I have been      Log On


   

Question 844158: Find all real- number solutions. Round your results to the second decimal place. Verify that your results satisfy the equation.
35.9b^6 + 8.6 = 394.3
Please help. I have been stuck on this question for a long time. And please show work, so I can understand it.
Found 2 solutions by Fombitz, ankor@dixie-net.com:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
35.9b%5E6+%2B+8.6+=+394.3 Subtract 8.6 from both sides
35.9b%5E6=+394.3-8.6
35.9b%5E6=+385.7 Divide both sides by 35.9
b%5E6=+10.74373Take the sixth root of both sides
b=1.4854
or to the second decimal place,
b=1.49
Now take this answer and plug it back into the equation and make sure the right hand side and left hand side match.
Then you'll have verified that it's a good solution.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
35.9b^6 + 8.6 = 394.3
35.9b^6 = 394.3 - 8.6
35.9b^6 = 385.7
b^6 = 385.7%2F35.9
b^6 = 10.7437
b = 10.7437%5E%281%2F6%29
using logs
1%2F6log(10.7437)
1%2F6*1.031154 = .171859
find the anti-log
b = 10%5E%28.171859%29
b = 1.485
:
:
you can check this on your calc: 35.9*1.485^6 + 8.6