What are the solutions to the equation 5x^3-3x^2+10x-6=0 ?

The solutions to the equation 5x^3-3x^2+10x-6=0 are x= 3/5 ,x=sqrt(2)i,x=-sqrt(2)i

Find the zeros of 5x^3-3x^2+10x-6=0

The zeros of 5x^3-3x^2+10x-6=0 are x= 3/5 ,x=sqrt(2)i,x=-sqrt(2)i

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5 x^{3} - 3 x^{2} + 10 x - 6 = 0

x = \frac{3}{5}, x = 2 i, x = - 2 i

Solution steps

5 x^{3} - 3 x^{2} + 10 x - 6 = 0

Factor

5 x^{3} - 3 x^{2} + 10 x - 6 : (5 x - 3) (x^{2} + 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 x - 3 = 0 or x^{2} + 2 = 0

Solve

5 x - 3 = 0 : x = \frac{3}{5}

Solve

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

The solutions are

x = \frac{3}{5}, x = 2 i, x = - 2 i

x^{3} - 12 x^{2} + 36 x + 44 = 0

- 2 (5 x + 6) (x^{2} - 64) = 0

x^{4} + 3 = 0

(2^{24})^{\frac{1}{2}} = p^{4}

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

What are the solutions to the equation 5x^3-3x^2+10x-6=0 ?
The solutions to the equation 5x^3-3x^2+10x-6=0 are x= 3/5 ,x=sqrt(2)i,x=-sqrt(2)i
Find the zeros of 5x^3-3x^2+10x-6=0
The zeros of 5x^3-3x^2+10x-6=0 are x= 3/5 ,x=sqrt(2)i,x=-sqrt(2)i