SOLUTION: Please help me with this equation [sqrt(x+1) + sqrt(x-1)]/[sqrt(x+1) -sqrt(x-1)]=3? I solved it as [(x+1) + (x-1)]/[(x+1) - (x-1)]=3^2 2x/2=9 x=9 When I check answer on calc i

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me with this equation [sqrt(x+1) + sqrt(x-1)]/[sqrt(x+1) -sqrt(x-1)]=3? I solved it as [(x+1) + (x-1)]/[(x+1) - (x-1)]=3^2 2x/2=9 x=9 When I check answer on calc i      Log On


   

Question 143830: Please help me with this equation [sqrt(x+1) + sqrt(x-1)]/[sqrt(x+1) -sqrt(x-1)]=3?
I solved it as
[(x+1) + (x-1)]/[(x+1) - (x-1)]=3^2
2x/2=9
x=9
When I check answer on calc it gives me answer with bunch of deciams. I have gut feeling I'm wrong somewhere.Please help me to figure out.Thank you so much!
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given:



%28%28sqrt%28x%2B1%29+%2B+sqrt%28x-1%29%29+%28sqrt%28x%2B1%29+%2Bsqrt%28x-1%29%29+%29+=+6+
+%28%28x%2B1%29+%2B+2%2Asqrt%28x-1%29sqrt%28x%2B1%29+%2B+%28x-1%29%29+=+6+

+2x+%2B+2%2Asqrt%28x-1%29sqrt%28x%2B1%29+=+6+
+sqrt%28x-1%29sqrt%28x%2B1%29+=+3+-+x+
+sqrt%28x%5E2-1%29+=+3+-+x+
+sqrt%28x%5E2-1%29%5E2+=+%283+-+x%29%5E2+
+x%5E2+-1+=+9+-6x+%2B+x%5E2+
+-10+=+-6x+
+5%2F3+=+x+
Try that!