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

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

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

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

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

No Solution for x \in R

Solution steps

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

Find Least Common Multiplier of

3, 2 : 6

Multiply by LCM=

6

\frac{2 x}{3} \cdot 6 - \frac{x - 1}{2} \cdot 6 = x \cdot 6

Simplify

4 x - 3 x - 1 = x \cdot 6

Remove square roots

576 x^{2} - 576 x = 121 x^{2} + 198 x + 81

Solve

576 x^{2} - 576 x = 121 x^{2} + 198 x + 81 : x = - \frac{9}{91}, x = \frac{9}{5}

x = - \frac{9}{91}, x = \frac{9}{5}

Verify Solutions:

x = - \frac{9}{91}

False

, x = \frac{9}{5}

False

The solution is

No Solution for x \in R

2 x^{2} - 2 2 x + 1 = 0

x + 4 + 2 = x

(\frac{x - 1}{x})^{0.5} + (\frac{1 - 1}{x})^{0.5} = x

a = \frac{1}{( a - 1 )} - \frac{1}{( a + 1 )} + 1

\frac{72}{( x ^{\frac{8}{5}} )} = \frac{( x ^{\frac{7}{5}} )}{24}

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