What are the solutions to the equation -3x^3-2x=5 ?

The solutions to the equation -3x^3-2x=5 are x=-1,x= 1/2+i(sqrt(51))/6 ,x= 1/2-i(sqrt(51))/6

Find the zeros of -3x^3-2x=5

The zeros of -3x^3-2x=5 are x=-1,x= 1/2+i(sqrt(51))/6 ,x= 1/2-i(sqrt(51))/6

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- 3 x^{3} - 2 x = 5

x = - 1, x = \frac{1}{2} + i \frac{51}{6}, x = \frac{1}{2} - i \frac{51}{6}

Solution steps

- 3 x^{3} - 2 x = 5

Move

5

to the left side

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

3 x^{2} - 3 x + 5 = 0 : x = \frac{1}{2} + i \frac{51}{6}, x = \frac{1}{2} - i \frac{51}{6}

The solutions are

x = - 1, x = \frac{1}{2} + i \frac{51}{6}, x = \frac{1}{2} - i \frac{51}{6}

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

- x^{3} + 9 x - 5 = 0

n^{4} + 2 n^{3} + n^{2} + 20 n = 400

z^{4} - 4 i = 0

3 x^{4} - 6 x^{2} - 72 = 0

What are the solutions to the equation -3x^3-2x=5 ?
The solutions to the equation -3x^3-2x=5 are x=-1,x= 1/2+i(sqrt(51))/6 ,x= 1/2-i(sqrt(51))/6
Find the zeros of -3x^3-2x=5
The zeros of -3x^3-2x=5 are x=-1,x= 1/2+i(sqrt(51))/6 ,x= 1/2-i(sqrt(51))/6