What is the answer to xsqrt(x)=3x+4sqrt(x) ?

The answer to xsqrt(x)=3x+4sqrt(x) is x=0,x=16

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xsqrt(x)=3x+4sqrt(x)

x x = 3 x + 4 x

x = 0, x = 16

Solution steps

x x = 3 x + 4 x

Move

4 x

to the left side

x x - 4 x = 3 x

Factor

x x - 4 x : x (x - 4)

x (x - 4) = 3 x

Divide both sides by

x - 4

x = \frac{3 x}{x - 4}

Square both sides:

x = \frac{9 x ^{2}}{x ^{2} - 8 x + 16}

x = \frac{9 x ^{2}}{x ^{2} - 8 x + 16}

Solve

x = \frac{9 x ^{2}}{x ^{2} - 8 x + 16} : x = 0, x = 1, x = 16

x = 0, x = 1, x = 16

Verify Solutions:

x = 0

True

, x = 1

False

, x = 16

True

The solutions are

x = 0, x = 16

z^{2} + 2 z - 3 = z - 3

2000 = 500 t

x - x - 2 = 4

5 - 3 w - 6 - w = 0

What is the answer to xsqrt(x)=3x+4sqrt(x) ?
The answer to xsqrt(x)=3x+4sqrt(x) is x=0,x=16
Solve for x: xsqrt(x)=3x+4sqrt(x)
The solution is x=0,x=16