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# 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

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- Mike GLv 79 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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