What is the answer to x^{3/2}-sqrt(x)=0 ?

The answer to x^{3/2}-sqrt(x)=0 is x=0,x=1

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x^{3/2}-sqrt(x)=0

x^{\frac{3}{2}} - x = 0

x = 0, x = 1

Solution steps

x^{\frac{3}{2}} - x = 0

Factor

x^{\frac{3}{2}} - x : x (x - 1)

x (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0

Solve

x = 0 : x = 0

Solve

x - 1 = 0 : x = 1

x = 0, x = 1

Verify Solutions:

x = 0

True

, x = 1

True

The solutions are

x = 0, x = 1

x - 1 + 13 = x

x - 3 + x + 4 = 4 x + 1

3 x + 2 = 3 2 x - 2

- \frac{x}{25 - x ^{2}} = 0

2 x + 1 + 1 = x

What is the answer to x^{3/2}-sqrt(x)=0 ?
The answer to x^{3/2}-sqrt(x)=0 is x=0,x=1
Solve for x: x^{3/2}-sqrt(x)=0
The solution is x=0,x=1