What is the answer to 1-x+2sqrt(x)=0 ?

The answer to 1-x+2sqrt(x)=0 is x=3+2sqrt(2)

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1-x+2sqrt(x)=0

1 - x + 2 x = 0

x = 3 + 22

Decimal Notation

x = 5.82842 \dots

Solution steps

1 - x + 2 x = 0

Remove square roots

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

Solve

4 x = x^{2} - 2 x + 1 : x = 3 + 22, x = 3 - 22

x = 3 + 22, x = 3 - 22

Verify Solutions:

x = 3 + 22

True

, x = 3 - 22

False

The solution is

x = 3 + 22

2 x + 1 = 7 x - 13

2 x^{2} = 10

What is the answer to 1-x+2sqrt(x)=0 ?
The answer to 1-x+2sqrt(x)=0 is x=3+2sqrt(2)
Solve for x: 1-x+2sqrt(x)=0
The solution is x=3+2sqrt(2)