What are the solutions to the equation solvefor x,0=324x^3-144xy ?

The solutions to the equation solvefor x,0=324x^3-144xy are x=0,x=(2sqrt(y))/3 ,x=-(2sqrt(y))/3

Find the zeros of solvefor x,0=324x^3-144xy

The zeros of solvefor x,0=324x^3-144xy are x=0,x=(2sqrt(y))/3 ,x=-(2sqrt(y))/3

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solve for

x, 0 = 324 x^{3} - 144 x y

x = 0, x = \frac{2 y}{3}, x = - \frac{2 y}{3}

Solution steps

0 = 324 x^{3} - 144 x y

Switch sides

324 x^{3} - 144 x y = 0

Factor

324 x^{3} - 144 x y : 36 x (9 x^{2} - 4 y)

36 x (9 x^{2} - 4 y) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 9 x^{2} - 4 y = 0

Solve

9 x^{2} - 4 y = 0 : x = \frac{2 y}{3}, x = - \frac{2 y}{3}

The solutions are

x = 0, x = \frac{2 y}{3}, x = - \frac{2 y}{3}

z^{3} - 27 i = 0

3 x^{4} - 5 x^{3} + 2 x - 1 = 0

b^{4} - 2 = 1

x^{3} - 21 x^{2} = 0

w^{3} = 81

What are the solutions to the equation solvefor x,0=324x^3-144xy ?
The solutions to the equation solvefor x,0=324x^3-144xy are x=0,x=(2sqrt(y))/3 ,x=-(2sqrt(y))/3
Find the zeros of solvefor x,0=324x^3-144xy
The zeros of solvefor x,0=324x^3-144xy are x=0,x=(2sqrt(y))/3 ,x=-(2sqrt(y))/3