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

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

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

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

x = 0, x = 3

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x^{\frac{1}{2}} = 0 : x = 0

Solve

x - 3 = 0 : x = 3

x = 0, x = 3

Verify Solutions:

x = 0

True

, x = 3

True

The solutions are

x = 0, x = 3

2 m - 6 = 3 m - 14

x + 3 - 7 - x = 2 x - 8

7 x - 59 + 20 = 22

y, x + y = x + y

x + 2 + x - 3 = 5

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