SOLUTION: Solve {{{sqrt(3x+4)-sqrt(2x+1)=1}}}

Algebra.Com
Question 135510: Solve
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Add to both sides


Add to both sides


Square both sides


Foil the right side


Combine like terms


Subtract 2x from both sides. Subtract 2 from both sides.

Combine like terms


Square both sides


Foil the left side


Distribute


Subtract 8x from both sides. Subtract 4 from both sides.


Combine like terms


Factor the left side



Now set each factor equal to zero:
or

or Now solve for x in each case


So our answers are

or

RELATED QUESTIONS

Solve. {{{sqrt(x-1)+sqrt(x-4)=sqrt(2x-1)}}} (answered by jim_thompson5910)
solve the following radical: {{{ sqrt ( 3x )+ sqrt ( 2x-1 ) = 5 / sqrt ( 2x-1 )... (answered by lwsshak3)
Solve for x; {{{sqrt(3x)+sqrt(2x-1)= 5/(sqrt(2x-1))}}} (answered by cigany29)
solve the following radical equation: {{{sqrt ( 3x+1 ) - sqrt ( 2x-10 )= 4... (answered by AnlytcPhil)
Solve {{{sqrt(2x+1)-sqrt(x)=1}}} (answered by jim_thompson5910)
{{{sqrt(4x+1)-sqrt(2x+4)=1}}} (answered by Theo)
Solve. {{{ sqrt (3x + 1) + 4 = 5... (answered by ichudov)
how do you solve the following: {{{sqrt(x+4)}}} + {{{sqrt(2x-1)}}} = {{{sqrt(7x+1)}}} (answered by tracyc0912,Edwin McCravy)
(a) sqrt(10x) * sqrt(8x) (b) sqrt(24x^4) / sqrt(3x) (c) 5 /... (answered by Alan3354)