# SOLUTION: Can you please solve this equation: 2sqrt(x + 8) = 3sqrt(x - 2)

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 Click here to see ALL problems on Radicals Question 246170: Can you please solve this equation: 2sqrt(x + 8) = 3sqrt(x - 2)Answer by richwmiller(9135)   (Show Source): You can put this solution on YOUR website!2sqrt(x + 8) = 3sqrt(x - 2) divide both sides by 2 sqrt(x + 8) = 3sqrt(x - 2)/2 square both sides x+8=9(x-2)/4 expand terms on right x+8=9x/4-9/2 subtract 9x/4-9/2 from both sides 4/x+32/4-9x/4+18/4=0 combine 50/4-5x/4=0 add 5x/4 to both sides 50/4=5x/4 multiply by 4 50=5x 10=x check 2sqrt(x + 8) = 3sqrt(x - 2) 2sqrt(18)=3sqrt(8) 2sqrt(9*2)=3sqrt(4*2) 3*2sqrt(2)=2*3sqrt(2) ok