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

The answer to sqrt(x+1)= 1/x is x\approx 0.75487…

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sqrt(x+1)= 1/x

x + 1 = \frac{1}{x}

x \approx 0.75487 \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 0.75487 \dots

x \approx 0.75487 \dots

Verify Solutions:

x \approx 0.75487 \dots

True

The solution is

x \approx 0.75487 \dots

(x - 2)^{(\frac{1}{2})} + 4 = x

y = 11

y = 12

n, 8 n^{2} + 1 = 2 k

What is the answer to sqrt(x+1)= 1/x ?
The answer to sqrt(x+1)= 1/x is x\approx 0.75487…
Solve for x: sqrt(x+1)= 1/x
The solution is x\approx 0.75487…