What is the answer to xsqrt(x)=x+2sqrt(x) ?

The answer to xsqrt(x)=x+2sqrt(x) is x=0,x=4

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xsqrt(x)=x+2sqrt(x)

x x = x + 2 x

x = 0, x = 4

Solution steps

x x = x + 2 x

Move

2 x

to the left side

x x - 2 x = x

Factor

x x - 2 x : x (x - 2)

x (x - 2) = x

Divide both sides by

x - 2

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

Square both sides:

x = \frac{x ^{2}}{x ^{2} - 4 x + 4}

x = \frac{x ^{2}}{x ^{2} - 4 x + 4}

Solve

x = \frac{x ^{2}}{x ^{2} - 4 x + 4} : x = 0, x = 1, x = 4

x = 0, x = 1, x = 4

Verify Solutions:

x = 0

True

, x = 1

False

, x = 4

True

The solutions are

x = 0, x = 4

x - 1 = x - 7

2 - e = 2 1 - 3 w

x + 2 = 18 - x

∣ x ∣^{2} = x

2 x + 5 = 3

What is the answer to xsqrt(x)=x+2sqrt(x) ?
The answer to xsqrt(x)=x+2sqrt(x) is x=0,x=4
Solve for x: xsqrt(x)=x+2sqrt(x)
The solution is x=0,x=4