What is the answer to 110xsqrt(x)-sqrt(x)=x ?

The answer to 110xsqrt(x)-sqrt(x)=x is x=0,x= 1/100

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110xsqrt(x)-sqrt(x)=x

110 x x - x = x

x = 0, x = \frac{1}{100}

Decimal Notation

x = 0, x = 0.01

Solution steps

110 x x - x = x

Factor

110 x x - x : x (110 x - 1)

x (110 x - 1) = x

Square both sides:

12100 x^{3} - 220 x^{2} + x = x^{2}

12100 x^{3} - 220 x^{2} + x = x^{2}

Solve

12100 x^{3} - 220 x^{2} + x = x^{2} : x = 0, x = \frac{1}{121}, x = \frac{1}{100}

x = 0, x = \frac{1}{121}, x = \frac{1}{100}

Verify Solutions:

x = 0

True

, x = \frac{1}{121}

False

, x = \frac{1}{100}

True

The solutions are

x = 0, x = \frac{1}{100}

7 x + 123 + 11 = 20

x + 1 = 2 x - 1

x + 5 = 2 x + 3

- 3 x - 5 = - 17

5 x - 15 - 4 = 1

What is the answer to 110xsqrt(x)-sqrt(x)=x ?
The answer to 110xsqrt(x)-sqrt(x)=x is x=0,x= 1/100
Solve for x: 110xsqrt(x)-sqrt(x)=x
The solution is x=0,x= 1/100