What are the solutions to the equation 9x^3-13x-6=0 ?

The solutions to the equation 9x^3-13x-6=0 are x=-2/3 ,x=(1+sqrt(10))/3 ,x=(1-sqrt(10))/3

Find the zeros of 9x^3-13x-6=0

The zeros of 9x^3-13x-6=0 are x=-2/3 ,x=(1+sqrt(10))/3 ,x=(1-sqrt(10))/3

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9 x^{3} - 13 x - 6 = 0

x = - \frac{2}{3}, x = \frac{1 + 10}{3}, x = \frac{1 - 10}{3}

Decimal Notation

x = - 0.66666 \dots, x = 1.38742 \dots, x = - 0.72075 \dots

Solution steps

9 x^{3} - 13 x - 6 = 0

Factor

9 x^{3} - 13 x - 6 : (3 x + 2) (3 x^{2} - 2 x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

3 x + 2 = 0 : x = - \frac{2}{3}

Solve

3 x^{2} - 2 x - 3 = 0 : x = \frac{1 + 10}{3}, x = \frac{1 - 10}{3}

The solutions are

x = - \frac{2}{3}, x = \frac{1 + 10}{3}, x = \frac{1 - 10}{3}

x^{4} + 24 x^{2} - 25 = 0

0 = x (x + 9) (x - 15)

x^{4} + 11 x^{2} - 26 = 0

2000 = \frac{2}{3} π r^{3}

x^{3} + 13 x^{2} - 56 x + 80

What are the solutions to the equation 9x^3-13x-6=0 ?
The solutions to the equation 9x^3-13x-6=0 are x=-2/3 ,x=(1+sqrt(10))/3 ,x=(1-sqrt(10))/3
Find the zeros of 9x^3-13x-6=0
The zeros of 9x^3-13x-6=0 are x=-2/3 ,x=(1+sqrt(10))/3 ,x=(1-sqrt(10))/3