What is the answer to sqrt(x)*(sqrt(x)-6)=1 ?

The answer to sqrt(x)*(sqrt(x)-6)=1 is x=19+6sqrt(10)

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sqrt(x)*(sqrt(x)-6)=1

x \cdot (x - 6) = 1

x = 19 + 610

Decimal Notation

x = 37.97366 \dots

Solution steps

x (x - 6) = 1

Expand

x (x - 6) : x - 6 x

x - 6 x = 1

Remove square roots

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

Solve

36 x = 1 - 2 x + x^{2} : x = 19 + 610, x = 19 - 610

x = 19 + 610, x = 19 - 610

Verify Solutions:

x = 19 + 610

True

, x = 19 - 610

False

The solution is

x = 19 + 610

3 \cdot x^{2} - 2 2 x - 23 = 0

3 x = 23 + x

x, z = x^{2} + y^{2}

x^{\frac{2}{5}} + 8 = 6 x^{\frac{1}{5}}

x^{\frac{1}{4}} = 2

What is the answer to sqrt(x)*(sqrt(x)-6)=1 ?
The answer to sqrt(x)*(sqrt(x)-6)=1 is x=19+6sqrt(10)
Solve for x: sqrt(x)*(sqrt(x)-6)=1
The solution is x=19+6sqrt(10)