What is the answer to (2x-3)/(x-1)=sqrt(x) ?

The answer to (2x-3)/(x-1)=sqrt(x) is No Solution for x\in\mathbb{R}

Solve for x: (2x-3)/(x-1)=sqrt(x)

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

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Popular >

\frac{2 x - 3}{x - 1} = x

No Solution for x \in R

Solution steps

\frac{2 x - 3}{x - 1} = x

Multiply both sides by

x - 1

\frac{2 x - 3}{x - 1} (x - 1) = x (x - 1)

Simplify

2 x - 3 = x (x - 1)

Expand

x (x - 1) : x x - x

2 x - 3 = x x - x

Factor

x x - x : x (x - 1)

2 x - 3 = x (x - 1)

Square both sides:

4 x^{2} - 12 x + 9 = x^{3} - 2 x^{2} + x

4 x^{2} - 12 x + 9 = x^{3} - 2 x^{2} + x

Solve

4 x^{2} - 12 x + 9 = x^{3} - 2 x^{2} + x : x \approx 1.31767 \dots

x \approx 1.31767 \dots

Verify Solutions:

x \approx 1.31767 \dots

False

The solution is

No Solution for x \in R

4 x + 5 - x - 4 = 2

2 x^{2} - a^{2} = 4 x - 2 a

x - 1 - 9 = 2

x, x + x - 1 = 3

2 x^{3} + 2 x^{2} + 4 x + 1 = 3

What is the answer to (2x-3)/(x-1)=sqrt(x) ?
The answer to (2x-3)/(x-1)=sqrt(x) is No Solution for x\in\mathbb{R}
Solve for x: (2x-3)/(x-1)=sqrt(x)
The solution is No Solution for x\in\mathbb{R}