What are the solutions to the equation roots 6x^3-29x^2-6x+5 ?

The solutions to the equation roots 6x^3-29x^2-6x+5 are x=5,x= 1/3 ,x=-1/2

Find the zeros of roots 6x^3-29x^2-6x+5

The zeros of roots 6x^3-29x^2-6x+5 are x=5,x= 1/3 ,x=-1/2

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roots

6 x^{3} - 29 x^{2} - 6 x + 5

x = 5, x = \frac{1}{3}, x = - \frac{1}{2}

Solution steps

6 x^{3} - 29 x^{2} - 6 x + 5

The roots are the intercepts with the x-axis

(y = 0)

6 x^{3} - 29 x^{2} - 6 x + 5 = 0

Factor

6 x^{3} - 29 x^{2} - 6 x + 5 : (x - 5) (3 x - 1) (2 x + 1)

(x - 5) (3 x - 1) (2 x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 5 = 0 or 3 x - 1 = 0 or 2 x + 1 = 0

Solve

x - 5 = 0 : x = 5

Solve

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

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

The solutions are

x = 5, x = \frac{1}{3}, x = - \frac{1}{2}

4 x^{3} - 8 x^{2} + x + 3 = 0

x^{3} + 2 x^{2} - x - 2

0 = 4 x^{3} - 12 x^{2} - 36 x

(1 + x)^{10} = \frac{1000}{910}

3 (1 + g)^{4} = 3.7

What are the solutions to the equation roots 6x^3-29x^2-6x+5 ?
The solutions to the equation roots 6x^3-29x^2-6x+5 are x=5,x= 1/3 ,x=-1/2
Find the zeros of roots 6x^3-29x^2-6x+5
The zeros of roots 6x^3-29x^2-6x+5 are x=5,x= 1/3 ,x=-1/2