SOLUTION: I'll try one more time... 12/sqrt(5x+6) = sqrt(2x+5) Thanks!

Question 130537This question is from textbook Introductory Algebra
: I'll try one more time...
12/sqrt(5x+6) = sqrt(2x+5)
Thanks!
This question is from textbook Introductory Algebra

Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!

12/sqrt(5x+6) = sqrt(2x+5)
then
12=sqrt(5x+6)sqrt(2x+5)
then
12^2=(sqrt(5x+6)sqrt(2x+5))^2
then
144=(5x+6)(2x+5)
then
10x^2+37x+30=144
then
10x^2+37x-114=0
then

then

then x=-5.5 or x=2
but in the original equation x=-5.5 produces a sqrt of a negative number
so the only solution is
x=2

RELATED QUESTIONS
I need helping solve this equation: (12 over sqrt 5x + 6) = (sqrt 2x +5)... (answered by edjones)

Solve... (answered by stanbon)

Solve. 12/sqrt 5x + 6 = sqrt 2x +... (answered by stanbon)

Rationalize the denominator and simplify. sqrt(6)/4sqrt(3) + sqrt(2) I am having a (answered by rapaljer)

Please help me solve: {{{12/sqrt(5x+6)}}}={{{sqrt(2x+5)}}} Thank... (answered by nyc_function)

Hi I need help with these radical equation questions. Thanks in advance :) Solve each (answered by MathLover1)

How do I solve... (answered by Alan3354,josgarithmetic,MathTherapy)

I just need to check to see if these are right since the ones I have had double checked... (answered by Cintchr,checkley75)

Simplify.{{{(2x)sqrt(2x)(3)sqrt(5x)}}} I need to check to verify this answer is... (answered by Earlsdon,bucky)