What are the solutions to the equation -6x^3+15x^2-36x+15=0 ?

The solutions to the equation -6x^3+15x^2-36x+15=0 are x= 1/2 ,x=1+2i,x=1-2i

Find the zeros of -6x^3+15x^2-36x+15=0

The zeros of -6x^3+15x^2-36x+15=0 are x= 1/2 ,x=1+2i,x=1-2i

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- 6 x^{3} + 15 x^{2} - 36 x + 15 = 0

x = \frac{1}{2}, x = 1 + 2 i, x = 1 - 2 i

Solution steps

- 6 x^{3} + 15 x^{2} - 36 x + 15 = 0

Factor

- 6 x^{3} + 15 x^{2} - 36 x + 15 : - 3 (2 x - 1) (x^{2} - 2 x + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x - 1 = 0 or x^{2} - 2 x + 5 = 0

Solve

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

Solve

x^{2} - 2 x + 5 = 0 : x = 1 + 2 i, x = 1 - 2 i

The solutions are

x = \frac{1}{2}, x = 1 + 2 i, x = 1 - 2 i

7 = \frac{2 + ( x ^{3} + 2 )}{( - 5 )}

8 x - 2 = 7 x^{9}

- 7 x^{2} - 8 + x^{4} = 0

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

6 x^{3} - x^{2} = 12 x

What are the solutions to the equation -6x^3+15x^2-36x+15=0 ?
The solutions to the equation -6x^3+15x^2-36x+15=0 are x= 1/2 ,x=1+2i,x=1-2i
Find the zeros of -6x^3+15x^2-36x+15=0
The zeros of -6x^3+15x^2-36x+15=0 are x= 1/2 ,x=1+2i,x=1-2i