How do I solve for x in √(x+8)=12/√(x+8)+1?

1 Answer
mizoo
Mar 30, 2018

#x = 8#

Explanation:

#sqrt(x+8)=12/sqrt(x+8)+1#

Let #sqrt(x+8) = a#
#a =12/a+1#
#a^2 - a - 12 = 0#
#(a + 3)(a - 4) = 0#
#a = -3, a = 4#

#sqrt(x+8) = a#
#sqrt(x+8) = -3:# no solution over the real numbers.

#sqrt(x+8) = 4 #
#x + 8 = 16#
#x = 8#

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