What is the answer to sqrt(x-1)= 1/x ?

The answer to sqrt(x-1)= 1/x is x\approx 1.46557…

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sqrt(x-1)= 1/x

x - 1 = \frac{1}{x}

x \approx 1.46557 \dots

Solution steps

x - 1 = \frac{1}{x}

Multiply both sides by

x

x - 1 x = \frac{1}{x} x

Simplify

x - 1 x = 1

Square both sides:

x^{3} - x^{2} = 1

x^{3} - x^{2} = 1

Solve

x^{3} - x^{2} = 1 : x \approx 1.46557 \dots

x \approx 1.46557 \dots

Verify Solutions:

x \approx 1.46557 \dots

True

The solution is

x \approx 1.46557 \dots

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What is the answer to sqrt(x-1)= 1/x ?
The answer to sqrt(x-1)= 1/x is x\approx 1.46557…
Solve for x: sqrt(x-1)= 1/x
The solution is x\approx 1.46557…