SOLUTION: Solve 2[√(4x+5)] - [√(3x+1)] = 6, where x is an integer.

Algebra.Com
Question 1210433: Solve 2[√(4x+5)] - [√(3x+1)] = 6, where x is an integer.

Answer by mccravyedwin(417)   (Show Source): You can put this solution on YOUR website!



Isolate a radical term:



Square both sides:



Simplify:







Isolate the radical term:



Square both sides:

 









 169x-29=0;  x-5=0
 169x = 29;    x=5
 x=29/169;

Since x is an integer, the answer is likely x = 5.

But since we squared both sides, we must check for extraneous roots.








It checks, so the answer is x = 5.

Edwin


RELATED QUESTIONS

1) Solve 2(√4x+5) - (√3x+1) = 6, where x is an integer. 2) Given that sinx = -3/5, (answered by ikleyn,greenestamps,n2)
solve the equation 4^2x+1=2^3x+6 this is what I did. (2^2)^2x+1=2^3x+6... (answered by joyofmath,Earlsdon)
1. Solve the equation 3x+1/x+1 + 2x-1/x-1=1. 2. Solve the equation 4/c+3 + 5/c+4 =... (answered by macston)
. Solve the equation 3x+1/x+1 + 2x-1/x-1=1. 2. Solve the equation 4/c+3 + 5/c+4 = 6/c+7. (answered by Boreal)
please help me solve this equation with my daughter. we have tried to solve -but... (answered by venugopalramana)
solve 16 < 3x - 3 < -2 solution is {x19/3 (answered by checkley77)
Solve for x: 2(2x - 3) - 5(x + 1) = 2x - 7 2(2x - 3) - 5(x + 1) - 2x + 7 = 0 4x - 6 -... (answered by CharlesG2)
simplify the fractional expression: {{{ sqrt(1+(x^3 - 1/4x^3)^2)}}} This is the... (answered by friesr,JBarnum)
write an equation that defines m(x) as a trinomial where m(x)= (3x-1) (3-x)+4x^2+19.... (answered by stanbon)