What is the answer to ((x-1)/x)^{1/2}+((1-1)/x)^{1/2}=x ?

The answer to ((x-1)/x)^{1/2}+((1-1)/x)^{1/2}=x is No Solution for x\in\mathbb{R}

Solve for x: ((x-1)/x)^{1/2}+((1-1)/x)^{1/2}=x

The solution is No Solution for x\in\mathbb{R}

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

No Solution for x \in R

Solution steps

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

Factor

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

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

Square both sides:

\frac{x - 1}{x} = x^{2}

\frac{x - 1}{x} = x^{2}

Solve

\frac{x - 1}{x} = x^{2} : x \approx - 1.32471 \dots

x \approx - 1.32471 \dots

Verify Solutions:

x \approx - 1.32471 \dots

False

The solution is

No Solution for x \in R

x + 1 + 2 x + 3 = 5

2 x - 3 = - 1

x, (a) f = - 6 - 3 x

4 x + 9 = 5

1 - 2 x = 4 x + 33

What is the answer to ((x-1)/x)^{1/2}+((1-1)/x)^{1/2}=x ?
The answer to ((x-1)/x)^{1/2}+((1-1)/x)^{1/2}=x is No Solution for x\in\mathbb{R}
Solve for x: ((x-1)/x)^{1/2}+((1-1)/x)^{1/2}=x
The solution is No Solution for x\in\mathbb{R}