What is the answer to (3x)^3-(9sqrt(x))^2=0 ?

The answer to (3x)^3-(9sqrt(x))^2=0 is x=0,x=sqrt(3)

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(3x)^3-(9sqrt(x))^2=0

(3 x)^{3} - (9 x)^{2} = 0

x = 0, x = 3

Decimal Notation

x = 0, x = 1.73205 \dots

Solution steps

(3 x)^{3} - (9 x)^{2} = 0

Expand

(3 x)^{3} - (9 x)^{2} : 27 x^{3} - 81 x

27 x^{3} - 81 x = 0

Solve

27 x^{3} - 81 x = 0 : x = 0, x = - 3, x = 3

x = 0, x = - 3, x = 3

Verify Solutions:

x = 0

True

, x = - 3

False

, x = 3

True

The solutions are

x = 0, x = 3

- 3 x + 24 - x + 20 = - 2

- 5 x - 14 = - 10

3 x + 9 = 6

4 x - 3 = 3

5 - x = - 5

What is the answer to (3x)^3-(9sqrt(x))^2=0 ?
The answer to (3x)^3-(9sqrt(x))^2=0 is x=0,x=sqrt(3)
Solve for x: (3x)^3-(9sqrt(x))^2=0
The solution is x=0,x=sqrt(3)