# SOLUTION: solve for x: {{{ sqrt(x)-4=sqrt(9x)}}} my teacher gave me the answer, and she said it is x=4 or x=1, but i do not know how to do the work to get that. Please help!!!!!!!!!

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Numbers -> SOLUTION: solve for x: {{{ sqrt(x)-4=sqrt(9x)}}} my teacher gave me the answer, and she said it is x=4 or x=1, but i do not know how to do the work to get that. Please help!!!!!!!!!       Log On

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 Question 314389: solve for x: my teacher gave me the answer, and she said it is x=4 or x=1, but i do not know how to do the work to get that. Please help!!!!!!!!! Answer by stanbon(57361)   (Show Source): You can put this solution on YOUR website!sqrt(x)-4=sqrt(9x) --- Square both sides to get: x - 8sqrt(x) + 16 = 9x --- Simplify: -8sqrt(x) = 8x-16 --- Divide both sides by -8 to get: sqrt(x) = 2 - x --- Square both sides: x = 4-4x+x^2 ---- Rearrange: x^2 -5x+4 = 0 Factor: (x-4)(x-1) = 0 --- Potential Answers: x = 1 or x = 4 --- Check these in the original equation: sqrt(x)-4=sqrt(9x) Check x=1: sqrt(1) -4 = sqrt(9) 1-4 = 3 -3 = 3 False So, x = 1 is not an acceptable answer. --- Check x = 4: sqrt(4) - 4 = sqrt(9*4) 2 -4 = 6 -2 = 6 False So, x = 4 is not an acceptable answer. --- Conclusion: The original equation has no solutions. ======================================================== Cheers, Stan H.