What are the solutions to the equation 9x^3-45x^2-52x-12=0 ?

The solutions to the equation 9x^3-45x^2-52x-12=0 are x=6,x=-1/3 ,x=-2/3

Find the zeros of 9x^3-45x^2-52x-12=0

The zeros of 9x^3-45x^2-52x-12=0 are x=6,x=-1/3 ,x=-2/3

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9 x^{3} - 45 x^{2} - 52 x - 12 = 0

x = 6, x = - \frac{1}{3}, x = - \frac{2}{3}

Decimal Notation

x = 6, x = - 0.33333 \dots, x = - 0.66666 \dots

Solution steps

9 x^{3} - 45 x^{2} - 52 x - 12 = 0

Factor

9 x^{3} - 45 x^{2} - 52 x - 12 : (x - 6) (3 x + 1) (3 x + 2)

(x - 6) (3 x + 1) (3 x + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0 or 3 x + 1 = 0 or 3 x + 2 = 0

Solve

x - 6 = 0 : x = 6

Solve

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

Solve

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

The solutions are

x = 6, x = - \frac{1}{3}, x = - \frac{2}{3}

z^{6} + 64 = 0

y^{3} - 9 y - 12 = 0

x^{3} + 4 x^{2} = 5 x

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

3 x^{3} - 13 x^{2} + 13 x - 3 = 0

What are the solutions to the equation 9x^3-45x^2-52x-12=0 ?
The solutions to the equation 9x^3-45x^2-52x-12=0 are x=6,x=-1/3 ,x=-2/3
Find the zeros of 9x^3-45x^2-52x-12=0
The zeros of 9x^3-45x^2-52x-12=0 are x=6,x=-1/3 ,x=-2/3