What are the solutions to the equation 4x^3-9x^2+6x=0 ?

The solutions to the equation 4x^3-9x^2+6x=0 are x=0,x= 9/8+i(sqrt(15))/8 ,x= 9/8-i(sqrt(15))/8

Find the zeros of 4x^3-9x^2+6x=0

The zeros of 4x^3-9x^2+6x=0 are x=0,x= 9/8+i(sqrt(15))/8 ,x= 9/8-i(sqrt(15))/8

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4 x^{3} - 9 x^{2} + 6 x = 0

x = 0, x = \frac{9}{8} + i \frac{15}{8}, x = \frac{9}{8} - i \frac{15}{8}

Solution steps

4 x^{3} - 9 x^{2} + 6 x = 0

Factor

4 x^{3} - 9 x^{2} + 6 x : x (4 x^{2} - 9 x + 6)

x (4 x^{2} - 9 x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x^{2} - 9 x + 6 = 0

Solve

4 x^{2} - 9 x + 6 = 0 : x = \frac{9}{8} + i \frac{15}{8}, x = \frac{9}{8} - i \frac{15}{8}

The solutions are

x = 0, x = \frac{9}{8} + i \frac{15}{8}, x = \frac{9}{8} - i \frac{15}{8}

2 x^{3} + 10 x^{2} + 12 x = 0

x^{4} - 4 x^{3} - 5 x^{2} + 16 x + 4 = 0

x, (x^{2} + y^{2})^{2} = 4 x^{2} y

x, x^{3} = 7 x

4 x^{3} + 6 x^{2} - 4 x = 0

What are the solutions to the equation 4x^3-9x^2+6x=0 ?
The solutions to the equation 4x^3-9x^2+6x=0 are x=0,x= 9/8+i(sqrt(15))/8 ,x= 9/8-i(sqrt(15))/8
Find the zeros of 4x^3-9x^2+6x=0
The zeros of 4x^3-9x^2+6x=0 are x=0,x= 9/8+i(sqrt(15))/8 ,x= 9/8-i(sqrt(15))/8