SOLUTION: 8bē=3-10b

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 8bē=3-10b      Log On


   

Question 989453: 8bē=3-10b
Answer by farohw(175) About Me  (Show Source):
You can put this solution on YOUR website!

8bē = 3 - 10b
8bē + 10b - 3 = 0

You can use the quadratic formula and replace the values for a = 8, b = 10 and c = -3
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-10+%2B-+sqrt%28+10%5E2-4%2A8%2A%28-3%29+%29%29%2F%282%2A8%29+

x+=+%28-10+%2B-+sqrt%28196%29%29%2F%2816%29+

Solving for x1:
x+=+%28-10+%2B+sqrt%28196%29%29%2F%2816%29+=+1%2F4


Solving for x2:
x+=+%28-10+-+sqrt%28196%29%29%2F%2816%29+=+-%283%2F2%29


OR you can solve the shorter way as follows:

8bē + 10b - 3 = 0 ---> (2b + 3)(4b - 1) = 0

2b+%2B+3+=+0 --> 2b+=+-3

2b%2F2+=+-3%2F2 --> b+=+-3%2F2


4b+-+1+=+0 --> 4b+=+1

4b%2F4+=+1%2F4 --> b+=+1%2F4


Cheers!
Farohw