What is the answer to x+sqrt(x)=14 ?

The answer to x+sqrt(x)=14 is x=(29-sqrt(57))/2

Solve for x: x+sqrt(x)=14

The solution is x=(29-sqrt(57))/2

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x + x = 14

x = \frac{29 - 57}{2}

Decimal Notation

x = 10.72508 \dots

Solution steps

x + x = 14

Remove square roots

x = 196 - 28 x + x^{2}

Solve

x = 196 - 28 x + x^{2} : x = \frac{29 + 57}{2}, x = \frac{29 - 57}{2}

x = \frac{29 + 57}{2}, x = \frac{29 - 57}{2}

Verify Solutions:

x = \frac{29 + 57}{2}

False

, x = \frac{29 - 57}{2}

True

The solution is

x = \frac{29 - 57}{2}

x + 9 + 2 x + 17 = 2

2 + c = 3

x, 2 = 2 x y

x - 4 = 11 x + 16

What is the answer to x+sqrt(x)=14 ?
The answer to x+sqrt(x)=14 is x=(29-sqrt(57))/2
Solve for x: x+sqrt(x)=14
The solution is x=(29-sqrt(57))/2