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

The answer to x-3sqrt(x)=1 is x=(11+3sqrt(13))/2

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

The solution is x=(11+3sqrt(13))/2

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x - 3 x = 1

x = \frac{11 + 3 13}{2}

Decimal Notation

x = 10.90832 \dots

Solution steps

x - 3 x = 1

Remove square roots

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

Solve

9 x = 1 - 2 x + x^{2} : x = \frac{11 + 3 13}{2}, x = \frac{11 - 3 13}{2}

x = \frac{11 + 3 13}{2}, x = \frac{11 - 3 13}{2}

Verify Solutions:

x = \frac{11 + 3 13}{2}

True

, x = \frac{11 - 3 13}{2}

False

The solution is

x = \frac{11 + 3 13}{2}

1 - \frac{x}{1 - x ^{2}} = 0

(x - 1)^{2} = [4 x - 4]^{2}

3 x + 1 - 4 = 0

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

What is the answer to x-3sqrt(x)=1 ?
The answer to x-3sqrt(x)=1 is x=(11+3sqrt(13))/2
Solve for x: x-3sqrt(x)=1
The solution is x=(11+3sqrt(13))/2