What are the solutions to the equation 4x^3-15x^2+18x=0 ?

The solutions to the equation 4x^3-15x^2+18x=0 are x=0,x= 15/8+i(3sqrt(7))/8 ,x= 15/8-i(3sqrt(7))/8

Find the zeros of 4x^3-15x^2+18x=0

The zeros of 4x^3-15x^2+18x=0 are x=0,x= 15/8+i(3sqrt(7))/8 ,x= 15/8-i(3sqrt(7))/8

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4 x^{3} - 15 x^{2} + 18 x = 0

x = 0, x = \frac{15}{8} + i \frac{3 7}{8}, x = \frac{15}{8} - i \frac{3 7}{8}

Solution steps

4 x^{3} - 15 x^{2} + 18 x = 0

Factor

4 x^{3} - 15 x^{2} + 18 x : x (4 x^{2} - 15 x + 18)

x (4 x^{2} - 15 x + 18) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x^{2} - 15 x + 18 = 0

Solve

4 x^{2} - 15 x + 18 = 0 : x = \frac{15}{8} + i \frac{3 7}{8}, x = \frac{15}{8} - i \frac{3 7}{8}

The solutions are

x = 0, x = \frac{15}{8} + i \frac{3 7}{8}, x = \frac{15}{8} - i \frac{3 7}{8}

3 x^{4} - 75 x^{2} = 0

(5 - x) \cdot (x^{2} - 9) = 0

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

x^{4} - 14 x^{2} + 44 = 0

x^{4} - 14 x^{2} + 45 = 0

What are the solutions to the equation 4x^3-15x^2+18x=0 ?
The solutions to the equation 4x^3-15x^2+18x=0 are x=0,x= 15/8+i(3sqrt(7))/8 ,x= 15/8-i(3sqrt(7))/8
Find the zeros of 4x^3-15x^2+18x=0
The zeros of 4x^3-15x^2+18x=0 are x=0,x= 15/8+i(3sqrt(7))/8 ,x= 15/8-i(3sqrt(7))/8