SOLUTION: Need to solve the equation to a quadratic. Don't know how to set up this problem. sqrt4b+1 - sqrtb-2 = 3

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Need to solve the equation to a quadratic. Don't know how to set up this problem. sqrt4b+1 - sqrtb-2 = 3      Log On


   

Question 207256This question is from textbook
: Need to solve the equation to a quadratic. Don't know how to set up this problem.
sqrt4b+1 - sqrtb-2 = 3 This question is from textbook

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(4b+1)-sqrt(b-2)=3
2sqrt(b-2)sqrt(4b+1)+5b-1=9 square each side.
2sqrt(b-2)sqrt(4b+1)=10-5b
16b^2-28b-8=25b^2-100b+100 square each side.
9b^2-72b+108=0 Subtract the left side from the right.
b^2-8b+12=0
(b-6)(b-2)=0
b=6, b=2
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Ed