Help with a math problem?

I just need a little help in solving this problem:

sqrt(1+sqrt(24+10 x))=sqrt(5x+1)

solve for x and please show all steps.

Thanks

1 Answer

Relevance
  • Mike G
    Lv 7
    9 years ago

    sqrt(1+sqrt(24+10 x))=sqrt(5x+1)

    1+sqrt((24+10x) = 5x+1

    sqrt((24+10x) = 5x

    24+10x = 25x^2

    25x^2-10x-24 = 0

    (5x-6)(5x+4) = 0

    x = 6/5 or -4/5

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