SOLUTION: Solve the equation. Check for any extraneous solutions. (sqrt(2-x)) = x+4

Algebra.Com
Question 858163: Solve the equation. Check for any extraneous solutions.
(sqrt(2-x)) = x+4
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!

square both sides of the equation
(2-x) = (x+4)^2
2-x= x^2+8x+16
x^2+9x-14=0
x^2+9x =14
x^2+9x+(9/2)^2 =14 +(9/2)^2
(x+9/2)^2 = 14+(81/4)
(x+9/2)^2 = (56+81)/4

(x+9/2)^2 = (137)/4

take square root
x+9/2 = +/-sqrt(137)/2
x= -9/2 +/- sqrt(137)/2


Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Solve the equation. Check for any extraneous solutions.
(sqrt(2-x)) = x+4
(EXRANEOUS) 



You can do the check!! 



If you need a complete and detailed solution, let me know!!



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously.  

RELATED QUESTIONS


Solve the following equation for ‘x’ and check for extraneous solutions:... (answered by Edwin McCravy)

Solve the equation and check for extraneous solutions.... (answered by stanbon)

Solve for x, check for any extraneous solutions.
sqrt(3x+1) =... (answered by Alan3354)

Solve each radical equation, check for extraneous solutions:

x + 1 = sqrt(7x +15)
 (answered by ewatrrr,pmesler)

Hello! Could you solve this problem?
Thanks.

Solve the equation. Check for extraneous  (answered by mananth)

Solve the equation. Check for extraneous solutions.

square root of 5x+1 =... (answered by oscargut)

Solve the equation. Check for extraneous solutions.

{{{x^(2/3) =... (answered by nerdybill)

Solve the equation. Check for extraneous solutions.... (answered by Alan3354)

Solve the equation (x/2)=(2x-3), and check for extraneous... (answered by MathLover1)