SOLUTION: solve the equation/show work square root of x+3=x-3 there is an extraneous solution,so check your answer by substitution into thr original equation to find the only solution.

Question 83540: solve the equation/show work
square root of x+3=x-3
there is an extraneous solution,so check your answer by substitution into thr original equation to find the only solution. (this is the note attached to the problem)

Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
SQRT(X+3)=X-3 SQUARING BOTH SIDES WE GET:
X+3=(X-3)^2
X+3=X^2-6X+9
X^2-6X-X+9-3=0
X^2-7X+6=0
(X-6)(X-1)=0
X-6=0
X=6 ANSWER.
SQRT(6+3)=6-3
SQRT9=3
+/-3=3 (+3)SOLUTION
X-1=0
X=1 ANSWER.
SQRT(1+3)=1-3
SQRT4=-2
+/-2=-2 (-2) SOLUTION
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