What is the answer to solvefor x,x-sqrt(x-1)=13 ?

The answer to solvefor x,x-sqrt(x-1)=13 is x=17

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solvefor x,x-sqrt(x-1)=13

x, x - x - 1 = 13

x = 17

Solution steps

x - x - 1 = 13

Remove square roots

x - 1 = 169 - 26 x + x^{2}

Solve

x - 1 = 169 - 26 x + x^{2} : x = 17, x = 10

x = 17, x = 10

Verify Solutions:

x = 17

True

, x = 10

False

The solution is

x = 17

v - 6 = 9

6 - 105 + 2 x - 1 = 2

x^{2} - 9 - 4 x - 12 = 0

What is the answer to solvefor x,x-sqrt(x-1)=13 ?
The answer to solvefor x,x-sqrt(x-1)=13 is x=17