What is the answer to x^{3/2}-x^{1/2}=0 ?

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

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x^{3/2}-x^{1/2}=0

x^{\frac{3}{2}} - x^{\frac{1}{2}} = 0

x = 0, x = 1

Solution steps

x^{\frac{3}{2}} - x^{\frac{1}{2}} = 0

Factor

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

x^{\frac{1}{2}} (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x^{\frac{1}{2}} = 0 or x - 1 = 0

Solve

x^{\frac{1}{2}} = 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

\frac{- 2 x ^{2} + 9}{9 - x ^{2}} = 0

(x + 5)^{\frac{4}{3}} - 10 = 6

2 x + 1 - 4 = - 1

y, x = y + 1

3 x + 46 - 2 = 3

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