What are the solutions to the equation 3x^3+5x^2+10x-4=0 ?

The solutions to the equation 3x^3+5x^2+10x-4=0 are x= 1/3 ,x=-1+sqrt(3)i,x=-1-sqrt(3)i

Find the zeros of 3x^3+5x^2+10x-4=0

The zeros of 3x^3+5x^2+10x-4=0 are x= 1/3 ,x=-1+sqrt(3)i,x=-1-sqrt(3)i

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3 x^{3} + 5 x^{2} + 10 x - 4 = 0

x = \frac{1}{3}, x = - 1 + 3 i, x = - 1 - 3 i

Solution steps

3 x^{3} + 5 x^{2} + 10 x - 4 = 0

Factor

3 x^{3} + 5 x^{2} + 10 x - 4 : (3 x - 1) (x^{2} + 2 x + 4)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

3 x - 1 = 0 : x = \frac{1}{3}

Solve

x^{2} + 2 x + 4 = 0 : x = - 1 + 3 i, x = - 1 - 3 i

The solutions are

x = \frac{1}{3}, x = - 1 + 3 i, x = - 1 - 3 i

90 x^{8} (1 - x) = 0.75

36 x^{3} + 45 x^{2} - 7 x - 4 = 0

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

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

x^{3} - 9 x^{2} - 25 x + 33 = 0

What are the solutions to the equation 3x^3+5x^2+10x-4=0 ?
The solutions to the equation 3x^3+5x^2+10x-4=0 are x= 1/3 ,x=-1+sqrt(3)i,x=-1-sqrt(3)i
Find the zeros of 3x^3+5x^2+10x-4=0
The zeros of 3x^3+5x^2+10x-4=0 are x= 1/3 ,x=-1+sqrt(3)i,x=-1-sqrt(3)i